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13101313003030 = 257474339196679
BaseRepresentation
bin1011111010100110001100…
…0110111000111000010110
31201101110210000210100002001
42332221203012320320112
53204122442112044110
643510354325505514
72521352515045150
oct276514306707026
951343700710061
1013101313003030
1141a126570446a
12157715727229a
137405aa506515
1433416d5cdad0
1517abddcce63a
hexbea631b8e16

13101313003030 has 64 divisors (see below), whose sum is σ = 27588274237440. Its totient is φ = 4386153245184.

The previous prime is 13101313002961. The next prime is 13101313003033. The reversal of 13101313003030 is 3030031310131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13101313002989 and 13101313003007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101313003033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3173770 + ... + 6022909.

It is an arithmetic number, because the mean of its divisors is an integer number (431066784960).

Almost surely, 213101313003030 is an apocalyptic number.

13101313003030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13101313003030 is an abundant number, since it is smaller than the sum of its proper divisors (14486961234410).

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

13101313003030 is a wasteful number, since it uses less digits than its factorization.

13101313003030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9197173.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 13101313003030 its reverse (3030031310131), we get a palindrome (16131344313161).

The spelling of 13101313003030 in words is "thirteen trillion, one hundred one billion, three hundred thirteen million, three thousand, thirty".

Divisors: 1 2 5 7 10 14 35 47 70 94 235 329 433 470 658 866 1645 2165 3031 3290 4330 6062 15155 20351 30310 40702 101755 142457 203510 284914 712285 1424570 9196679 18393358 45983395 64376753 91966790 128753506 321883765 432243913 643767530 864487826 2161219565 3025707391 3982162007 4322439130 6051414782 7964324014 15128536955 19910810035 27875134049 30257073910 39821620070 55750268098 139375670245 187161614329 278751340490 374323228658 935808071645 1310131300303 1871616143290 2620262600606 6550656501515 13101313003030