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13313311100331 = 31115125143124697
BaseRepresentation
bin1100000110111011111100…
…1011011100110110101011
31202010201222112121111220120
43001232333023130312223
53221111130120202311
644152014540454323
72542566155122524
oct301567713346653
952121875544816
1013313311100331
114273164047760
1215b0260b4a3a3
13757594472148
14340520d5584b
1518149a74a706
hexc1bbf2dcdab

13313311100331 has 64 divisors (see below), whose sum is σ = 19616923533312. Its totient is φ = 7964460000000.

The previous prime is 13313311100303. The next prime is 13313311100347. The reversal of 13313311100331 is 13300111331331.

It is not a de Polignac number, because 13313311100331 - 210 = 13313311099307 is a prime.

It is a super-2 number, since 2×133133111003312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13313311100381) 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, 539053575 + ... + 539078271.

It is an arithmetic number, because the mean of its divisors is an integer number (306514430208).

Almost surely, 213313311100331 is an apocalyptic number.

13313311100331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13313311100331 is a deficient number, since it is larger than the sum of its proper divisors (6303612432981).

13313311100331 is a wasteful number, since it uses less digits than its factorization.

13313311100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25544.

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 13313311100331 its reverse (13300111331331), we get a palindrome (26613422431662).

The spelling of 13313311100331 in words is "thirteen trillion, three hundred thirteen billion, three hundred eleven million, one hundred thousand, three hundred thirty-one".

Divisors: 1 3 11 33 151 251 431 453 753 1293 1661 2761 4741 4983 8283 14223 24697 37901 65081 74091 108181 113703 195243 271667 324543 416911 715891 815001 1189991 1250733 2147673 3569973 3729247 6198947 10644407 11187741 16335331 18596841 31933221 41021717 49005993 68188417 117088477 123065151 179688641 204565251 351265431 539065923 936040997 1607305457 2671746157 2808122991 4821916371 8015238471 10296450967 17680360027 29389207727 30889352901 53041080081 88167623181 403433669707 1210301009121 4437770366777 13313311100331