312103003009957 has 2 divisors, whose sum is σ = 312103003009958. Its totient is φ = 312103003009956.

The previous prime is 312103003009939. The next prime is 312103003009961. The reversal of 312103003009957 is 759900300301213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 243537217051041 + 68565785958916 = 15605679^2 + 8280446^2 .

It is a cyclic number.

It is not a de Polignac number, because 312103003009957 - 2⁷ = 312103003009829 is a prime.

It is a super-2 number, since 2×312103003009957² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312103003009927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156051501504978 + 156051501504979.

It is an arithmetic number, because the mean of its divisors is an integer number (156051501504979).

Almost surely, 2^{312103003009957} is an apocalyptic number.

It is an amenable number.

312103003009957 is a deficient number, since it is larger than the sum of its proper divisors (1).

312103003009957 is an equidigital number, since it uses as much as digits as its factorization.

312103003009957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 153090, while the sum is 43.

The spelling of 312103003009957 in words is "three hundred twelve trillion, one hundred three billion, three million, nine thousand, nine hundred fifty-seven".