312803116315013 has 2 divisors, whose sum is σ = 312803116315014. Its totient is φ = 312803116315012.

The previous prime is 312803116314989. The next prime is 312803116315037. The reversal of 312803116315013 is 310513611308213.

It is a balanced prime because it is at equal distance from previous prime (312803116314989) and next prime (312803116315037).

It can be written as a sum of positive squares in only one way, i.e., 264362657748289 + 48440458566724 = 16259233^2 + 6959918^2 .

It is a cyclic number.

It is not a de Polignac number, because 312803116315013 - 2³² = 312798821347717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312803116315073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156401558157506 + 156401558157507.

It is an arithmetic number, because the mean of its divisors is an integer number (156401558157507).

Almost surely, 2^{312803116315013} is an apocalyptic number.

It is an amenable number.

312803116315013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312803116315013 is an equidigital number, since it uses as much as digits as its factorization.

312803116315013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 312803116315013 in words is "three hundred twelve trillion, eight hundred three billion, one hundred sixteen million, three hundred fifteen thousand, thirteen".