13131331212131 has 16 divisors (see below), whose sum is σ = 14350907495040. Its totient is φ = 11916065286720.

The previous prime is 13131331212029. The next prime is 13131331212169. The reversal of 13131331212131 is 13121213313131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13131331212131 is a prime.

It is a super-2 number, since 2×13131331212131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13131331212131.

It is not an unprimeable number, because it can be changed into a prime (13131331212191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36884231 + ... + 37238543.

It is an arithmetic number, because the mean of its divisors is an integer number (896931718440).

Almost surely, 2^{13131331212131} is an apocalyptic number.

13131331212131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13131331212131 is a deficient number, since it is larger than the sum of its proper divisors (1219576282909).

13131331212131 is a wasteful number, since it uses less digits than its factorization.

13131331212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360386.

The product of its digits is 972, while the sum is 26.

Adding to 13131331212131 its reverse (13121213313131), we get a palindrome (26252544525262).

The spelling of 13131331212131 in words is "thirteen trillion, one hundred thirty-one billion, three hundred thirty-one million, two hundred twelve thousand, one hundred thirty-one".