131038317337 has 2 divisors, whose sum is σ = 131038317338. Its totient is φ = 131038317336.

The previous prime is 131038317329. The next prime is 131038317353. The reversal of 131038317337 is 733713830131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112342950976 + 18695366361 = 335176^2 + 136731^2 .

It is a cyclic number.

It is not a de Polignac number, because 131038317337 - 2³ = 131038317329 is a prime.

It is a super-2 number, since 2×131038317337² (a number of 23 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 131038317337.

It is not a weakly prime, because it can be changed into another prime (131038317307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65519158668 + 65519158669.

It is an arithmetic number, because the mean of its divisors is an integer number (65519158669).

Almost surely, 2^131038317337 is an apocalyptic number.

It is an amenable number.

131038317337 is a deficient number, since it is larger than the sum of its proper divisors (1).

131038317337 is an equidigital number, since it uses as much as digits as its factorization.

131038317337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 95256, while the sum is 40.

The spelling of 131038317337 in words is "one hundred thirty-one billion, thirty-eight million, three hundred seventeen thousand, three hundred thirty-seven".