312331103132033 has 2 divisors, whose sum is σ = 312331103132034. Its totient is φ = 312331103132032.

The previous prime is 312331103132029. The next prime is 312331103132053. The reversal of 312331103132033 is 330231301133213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 229376386361329 + 82954716770704 = 15145177^2 + 9107948^2 .

It is a cyclic number.

It is not a de Polignac number, because 312331103132033 - 2² = 312331103132029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312331103131987 and 312331103132005.

It is not a weakly prime, because it can be changed into another prime (312331103132053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156165551566016 + 156165551566017.

It is an arithmetic number, because the mean of its divisors is an integer number (156165551566017).

Almost surely, 2^{312331103132033} is an apocalyptic number.

It is an amenable number.

312331103132033 is a deficient number, since it is larger than the sum of its proper divisors (1).

312331103132033 is an equidigital number, since it uses as much as digits as its factorization.

312331103132033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 312331103132033 its reverse (330231301133213), we get a palindrome (642562404265246).

The spelling of 312331103132033 in words is "three hundred twelve trillion, three hundred thirty-one billion, one hundred three million, one hundred thirty-two thousand, thirty-three".