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13131113130021 = 3177911712783219
BaseRepresentation
bin1011111100010101001101…
…0101010110100000100101
31201111022200211222122020010
42333011103111112200211
53210120004430130041
643532203342000433
72523456136665645
oct277052325264045
951438624878203
1013131113130021
114202968041997
121580a93276119
1374334935a063
1433579928a525
1517b8850c6a16
hexbf153556825

13131113130021 has 32 divisors (see below), whose sum is σ = 18788738918400. Its totient is φ = 8127887189760.

The previous prime is 13131113130019. The next prime is 13131113130043. The reversal of 13131113130021 is 12003131113131.

13131113130021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13131113130021 - 21 = 13131113130019 is a prime.

It is a super-2 number, since 2×131311131300212 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13131113130021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131118130021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3326350 + ... + 6109568.

It is an arithmetic number, because the mean of its divisors is an integer number (587148091200).

Almost surely, 213131113130021 is an apocalyptic number.

It is an amenable number.

13131113130021 is a deficient number, since it is larger than the sum of its proper divisors (5657625788379).

13131113130021 is a wasteful number, since it uses less digits than its factorization.

13131113130021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784489.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 13131113130021 its reverse (12003131113131), we get a palindrome (25134244243152).

The spelling of 13131113130021 in words is "thirteen trillion, one hundred thirty-one billion, one hundred thirteen million, one hundred thirty thousand, twenty-one".

Divisors: 1 3 17 51 79 237 1171 1343 3513 4029 19907 59721 92509 277527 1572653 2783219 4717959 8349657 47314723 141944169 219874301 659622903 3259149449 3737863117 9777448347 11213589351 55405540633 166216621899 257472806471 772418419413 4377037710007 13131113130021