312123122053 has 2 divisors, whose sum is σ = 312123122054. Its totient is φ = 312123122052.

The previous prime is 312123121987. The next prime is 312123122071. The reversal of 312123122053 is 350221321213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 283074010209 + 29049111844 = 532047^2 + 170438^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312123122053 is a prime.

It is a super-2 number, since 2×312123122053² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312123152053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156061561026 + 156061561027.

It is an arithmetic number, because the mean of its divisors is an integer number (156061561027).

Almost surely, 2^312123122053 is an apocalyptic number.

It is an amenable number.

312123122053 is a deficient number, since it is larger than the sum of its proper divisors (1).

312123122053 is an equidigital number, since it uses as much as digits as its factorization.

312123122053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 312123122053 its reverse (350221321213), we get a palindrome (662344443266).

The spelling of 312123122053 in words is "three hundred twelve billion, one hundred twenty-three million, one hundred twenty-two thousand, fifty-three".