131313100210131 has 32 divisors (see below), whose sum is σ = 200289309122560. Its totient is φ = 74963627819136.

The previous prime is 131313100210037. The next prime is 131313100210153. The reversal of 131313100210131 is 131012001313131.

It is not a de Polignac number, because 131313100210131 - 2⁹ = 131313100209619 is a prime.

It is a super-2 number, since 2×131313100210131² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131313100210098 and 131313100210107.

It is not an unprimeable number, because it can be changed into a prime (131313100210631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015685265 + ... + 1015814541.

It is an arithmetic number, because the mean of its divisors is an integer number (6259040910080).

Almost surely, 2^{131313100210131} is an apocalyptic number.

131313100210131 is a deficient number, since it is larger than the sum of its proper divisors (68976208912429).

131313100210131 is a wasteful number, since it uses less digits than its factorization.

131313100210131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175603.

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

Adding to 131313100210131 its reverse (131012001313131), we get a palindrome (262325101523262).

The spelling of 131313100210131 in words is "one hundred thirty-one trillion, three hundred thirteen billion, one hundred million, two hundred ten thousand, one hundred thirty-one".