313134341031137 has 2 divisors, whose sum is σ = 313134341031138. Its totient is φ = 313134341031136.

The previous prime is 313134341031119. The next prime is 313134341031181. The reversal of 313134341031137 is 731130143431313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 243382963741696 + 69751377289441 = 15600736^2 + 8351729^2 .

It is a cyclic number.

It is not a de Polignac number, because 313134341031137 - 2⁶ = 313134341031073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313134341031137.

It is not a weakly prime, because it can be changed into another prime (313134341931137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156567170515568 + 156567170515569.

It is an arithmetic number, because the mean of its divisors is an integer number (156567170515569).

Almost surely, 2^{313134341031137} is an apocalyptic number.

It is an amenable number.

313134341031137 is a deficient number, since it is larger than the sum of its proper divisors (1).

313134341031137 is an equidigital number, since it uses as much as digits as its factorization.

313134341031137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81648, while the sum is 38.

The spelling of 313134341031137 in words is "three hundred thirteen trillion, one hundred thirty-four billion, three hundred forty-one million, thirty-one thousand, one hundred thirty-seven".