13131000013131 has 192 divisors, whose sum is σ = 26825390592000. Its totient is φ = 5960982378240.

The previous prime is 13131000013057. The next prime is 13131000013133.

13131000013131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13131000013131 - 2⁹ = 13131000012619 is a prime.

It is a super-2 number, since 2×13131000013131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13131000013133) 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 191 ways as a sum of consecutive naturals, for example, 249712200 + ... + 249764778.

It is an arithmetic number, because the mean of its divisors is an integer number (139715576000).

Almost surely, 2^{13131000013131} is an apocalyptic number.

13131000013131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13131000013131 is an abundant number, since it is smaller than the sum of its proper divisors (13694390578869).

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

13131000013131 is a wasteful number, since it uses less digits than its factorization.

13131000013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54094 (or 54091 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 131310000 and 13131, that multiplied together give a square (1724231610000 = 1313100²).

The spelling of 13131000013131 in words is "thirteen trillion, one hundred thirty-one billion, thirteen thousand, one hundred thirty-one".