31314001134137 has 2 divisors, whose sum is σ = 31314001134138. Its totient is φ = 31314001134136.

The previous prime is 31314001134083. The next prime is 31314001134173. The reversal of 31314001134137 is 73143110041313.

Together with next prime (31314001134173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20704492947961 + 10609508186176 = 4550219^2 + 3257224^2 .

It is a cyclic number.

It is not a de Polignac number, because 31314001134137 - 2⁸ = 31314001133881 is a prime.

It is not a weakly prime, because it can be changed into another prime (31314001134737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15657000567068 + 15657000567069.

It is an arithmetic number, because the mean of its divisors is an integer number (15657000567069).

Almost surely, 2^{31314001134137} is an apocalyptic number.

It is an amenable number.

31314001134137 is a deficient number, since it is larger than the sum of its proper divisors (1).

31314001134137 is an equidigital number, since it uses as much as digits as its factorization.

31314001134137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 31314001134137 in words is "thirty-one trillion, three hundred fourteen billion, one million, one hundred thirty-four thousand, one hundred thirty-seven".