131231133313157 has 2 divisors, whose sum is σ = 131231133313158. Its totient is φ = 131231133313156.

The previous prime is 131231133313123. The next prime is 131231133313183. The reversal of 131231133313157 is 751313331132131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108477765850756 + 22753367462401 = 10415266^2 + 4770049^2 .

It is a cyclic number.

It is not a de Polignac number, because 131231133313157 - 2²⁰ = 131231132264581 is a prime.

It is a super-2 number, since 2×131231133313157² (a number of 29 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 131231133313157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131231133313057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65615566656578 + 65615566656579.

It is an arithmetic number, because the mean of its divisors is an integer number (65615566656579).

Almost surely, 2^{131231133313157} is an apocalyptic number.

It is an amenable number.

131231133313157 is a deficient number, since it is larger than the sum of its proper divisors (1).

131231133313157 is an equidigital number, since it uses as much as digits as its factorization.

131231133313157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 51030, while the sum is 38.

Adding to 131231133313157 its reverse (751313331132131), we get a palindrome (882544464445288).

The spelling of 131231133313157 in words is "one hundred thirty-one trillion, two hundred thirty-one billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred fifty-seven".