312113310401 has 2 divisors, whose sum is σ = 312113310402. Its totient is φ = 312113310400.

The previous prime is 312113310373. The next prime is 312113310419. The reversal of 312113310401 is 104013311213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 303441231025 + 8672079376 = 550855^2 + 93124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312113310401 is a prime.

It is not a weakly prime, because it can be changed into another prime (312113310601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156056655200 + 156056655201.

It is an arithmetic number, because the mean of its divisors is an integer number (156056655201).

Almost surely, 2^312113310401 is an apocalyptic number.

It is an amenable number.

312113310401 is a deficient number, since it is larger than the sum of its proper divisors (1).

312113310401 is an equidigital number, since it uses as much as digits as its factorization.

312113310401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312113310401 its reverse (104013311213), we get a palindrome (416126621614).

The spelling of 312113310401 in words is "three hundred twelve billion, one hundred thirteen million, three hundred ten thousand, four hundred one".