312404131102201 has 2 divisors, whose sum is σ = 312404131102202. Its totient is φ = 312404131102200.

The previous prime is 312404131102177. The next prime is 312404131102213. The reversal of 312404131102201 is 102201131404213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301302246963600 + 11101884138601 = 17358060^2 + 3331949^2 .

It is a cyclic number.

It is not a de Polignac number, because 312404131102201 - 2⁴³ = 303608038079993 is a prime.

It is a super-2 number, since 2×312404131102201² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312404131102241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156202065551100 + 156202065551101.

It is an arithmetic number, because the mean of its divisors is an integer number (156202065551101).

Almost surely, 2^{312404131102201} is an apocalyptic number.

It is an amenable number.

312404131102201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312404131102201 is an equidigital number, since it uses as much as digits as its factorization.

312404131102201 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 25.

Adding to 312404131102201 its reverse (102201131404213), we get a palindrome (414605262506414).

The spelling of 312404131102201 in words is "three hundred twelve trillion, four hundred four billion, one hundred thirty-one million, one hundred two thousand, two hundred one".