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13320211202331 = 31161101224329209
BaseRepresentation
bin1100000111010101101001…
…1101010000000100011011
31202011101210102101000101220
43001311122131100010123
53221214243031433311
644155115345543123
72543232152043135
oct301653235200433
952141712330356
1013320211202331
114276084a6a4a0
1215b1667944aa3
13758123b6bb37
143409b750a055
151817513d0206
hexc1d5a75011b

13320211202331 has 64 divisors (see below), whose sum is σ = 19896995796480. Its totient is φ = 7858120320000.

The previous prime is 13320211202299. The next prime is 13320211202377.

13320211202331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13320211202331 - 25 = 13320211202299 is a prime.

It is a super-2 number, since 2×133202112023312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13320211302331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 456016455 + ... + 456045663.

It is an arithmetic number, because the mean of its divisors is an integer number (310890559320).

Almost surely, 213320211202331 is an apocalyptic number.

13320211202331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13320211202331 is a deficient number, since it is larger than the sum of its proper divisors (6576784594149).

13320211202331 is a wasteful number, since it uses less digits than its factorization.

13320211202331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31628.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1332021 and 1202331, that added together give a palindrome (2534352).

The spelling of 13320211202331 in words is "thirteen trillion, three hundred twenty billion, two hundred eleven million, two hundred two thousand, three hundred thirty-one".

Divisors: 1 3 11 33 61 101 183 303 671 1111 2013 2243 3333 6161 6729 18483 24673 29209 67771 74019 87627 136823 203313 226543 321299 410469 679629 963897 1505053 1781749 2491973 2950109 4515159 5345247 7475919 8850327 13819123 19599239 32451199 41457369 58797717 65515787 97353597 152010353 179956649 196547361 456031059 539869947 720673657 1979523139 2162020971 3996463007 5938569417 6617094487 11989389021 19851283461 43961093077 72788039357 131883279231 218364118071 403642763707 1210928291121 4440070400777 13320211202331