31412313137 has 2 divisors, whose sum is σ = 31412313138. Its totient is φ = 31412313136.

The previous prime is 31412313077. The next prime is 31412313161. The reversal of 31412313137 is 73131321413.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31136719936 + 275593201 = 176456^2 + 16601^2 .

It is a cyclic number.

It is not a de Polignac number, because 31412313137 - 2³⁰ = 30338571313 is a prime.

It is not a weakly prime, because it can be changed into another prime (31412313187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15706156568 + 15706156569.

It is an arithmetic number, because the mean of its divisors is an integer number (15706156569).

Almost surely, 2^31412313137 is an apocalyptic number.

It is an amenable number.

31412313137 is a deficient number, since it is larger than the sum of its proper divisors (1).

31412313137 is an equidigital number, since it uses as much as digits as its factorization.

31412313137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4536, while the sum is 29.

The spelling of 31412313137 in words is "thirty-one billion, four hundred twelve million, three hundred thirteen thousand, one hundred thirty-seven".