312400101113101 has 2 divisors, whose sum is σ = 312400101113102. Its totient is φ = 312400101113100.

The previous prime is 312400101112937. The next prime is 312400101113167. The reversal of 312400101113101 is 101311101004213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244833772537225 + 67566328575876 = 15647165^2 + 8219874^2 .

It is a cyclic number.

It is not a de Polignac number, because 312400101113101 - 2¹⁷ = 312400100982029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312400101183101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156200050556550 + 156200050556551.

It is an arithmetic number, because the mean of its divisors is an integer number (156200050556551).

Almost surely, 2^{312400101113101} is an apocalyptic number.

It is an amenable number.

312400101113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312400101113101 is an equidigital number, since it uses as much as digits as its factorization.

312400101113101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 312400101113101 its reverse (101311101004213), we get a palindrome (413711202117314).

The spelling of 312400101113101 in words is "three hundred twelve trillion, four hundred billion, one hundred one million, one hundred thirteen thousand, one hundred one".