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13301011331322 = 231121310611328279
BaseRepresentation
bin1100000110001110001000…
…0011100011100011111010
31202002120020100102111210020
43001203202003203203322
53220410432400100242
644142222242031310
72541652313610621
oct301434203434372
952076210374706
1013301011331322
114268a2215a200
1215a99a9948536
13756384190a10
1433dab55c46b8
15180ecaa146ec
hexc18e20e38fa

13301011331322 has 96 divisors (see below), whose sum is σ = 31519191795840. Its totient is φ = 3717053155200.

The previous prime is 13301011331281. The next prime is 13301011331347. The reversal of 13301011331322 is 22313311010331.

It is a junction number, because it is equal to n+sod(n) for n = 13301011331292 and 13301011331301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9349579 + ... + 10677857.

It is an arithmetic number, because the mean of its divisors is an integer number (328324914540).

Almost surely, 213301011331322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13301011331322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759595897920).

13301011331322 is an abundant number, since it is smaller than the sum of its proper divisors (18218180464518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13301011331322 is a wasteful number, since it uses less digits than its factorization.

13301011331322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329380 (or 1329369 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13301011331322 its reverse (22313311010331), we get a palindrome (35614322341653).

The spelling of 13301011331322 in words is "thirteen trillion, three hundred one billion, eleven million, three hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1061 1573 2122 3146 3183 4719 6366 9438 11671 13793 23342 27586 35013 41379 70026 82758 128381 151723 256762 303446 385143 455169 770286 910338 1328279 1668953 2656558 3337906 3984837 5006859 7969674 10013718 14611069 17267627 29222138 34535254 43833207 51802881 87666414 103605762 160721759 189943897 321443518 379887794 482165277 569831691 964330554 1139663382 1409304019 2089382867 2818608038 4178765734 4227912057 6268148601 8455824114 12536297202 15502344209 18320952247 31004688418 36641904494 46507032627 54962856741 93014065254 109925713482 170525786299 201530474717 341051572598 403060949434 511577358897 604591424151 1023154717794 1209182848302 2216835221887 4433670443774 6650505665661 13301011331322