312410114340101 has 2 divisors, whose sum is σ = 312410114340102. Its totient is φ = 312410114340100.

The previous prime is 312410114340029. The next prime is 312410114340113. The reversal of 312410114340101 is 101043411014213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312410079115876 + 35224225 = 17675126^2 + 5935^2 .

It is a cyclic number.

It is not a de Polignac number, because 312410114340101 - 2¹⁰ = 312410114339077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312410114340301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156205057170050 + 156205057170051.

It is an arithmetic number, because the mean of its divisors is an integer number (156205057170051).

Almost surely, 2^{312410114340101} is an apocalyptic number.

It is an amenable number.

312410114340101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312410114340101 is an equidigital number, since it uses as much as digits as its factorization.

312410114340101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 312410114340101 its reverse (101043411014213), we get a palindrome (413453525354314).

The spelling of 312410114340101 in words is "three hundred twelve trillion, four hundred ten billion, one hundred fourteen million, three hundred forty thousand, one hundred one".