312153034311121 has 2 divisors, whose sum is σ = 312153034311122. Its totient is φ = 312153034311120.

The previous prime is 312153034311113. The next prime is 312153034311137. The reversal of 312153034311121 is 121113430351213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256423823271121 + 55729211040000 = 16013239^2 + 7465200^2 .

It is a cyclic number.

It is not a de Polignac number, because 312153034311121 - 2³ = 312153034311113 is a prime.

It is not a weakly prime, because it can be changed into another prime (312153034311721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156076517155560 + 156076517155561.

It is an arithmetic number, because the mean of its divisors is an integer number (156076517155561).

Almost surely, 2^{312153034311121} is an apocalyptic number.

It is an amenable number.

312153034311121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312153034311121 is an equidigital number, since it uses as much as digits as its factorization.

312153034311121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 31.

Adding to 312153034311121 its reverse (121113430351213), we get a palindrome (433266464662334).

The spelling of 312153034311121 in words is "three hundred twelve trillion, one hundred fifty-three billion, thirty-four million, three hundred eleven thousand, one hundred twenty-one".