312332321100401 has 12 divisors (see below), whose sum is σ = 364134541011300. Its totient is φ = 267117174374400.

The previous prime is 312332321100281. The next prime is 312332321100407. The reversal of 312332321100401 is 104001123233213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 260785679299600 + 51546641800801 = 16148860^2 + 7179599^2 .

It is not a de Polignac number, because 312332321100401 - 2³⁴ = 312315141231217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312332321100407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7098117200 + ... + 7098161201.

It is an arithmetic number, because the mean of its divisors is an integer number (30344545084275).

Almost surely, 2^{312332321100401} is an apocalyptic number.

It is an amenable number.

312332321100401 is a deficient number, since it is larger than the sum of its proper divisors (51802219910899).

312332321100401 is a wasteful number, since it uses less digits than its factorization.

312332321100401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14196278864 (or 14196278857 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 312332321100401 its reverse (104001123233213), we get a palindrome (416333444333614).

The spelling of 312332321100401 in words is "three hundred twelve trillion, three hundred thirty-two billion, three hundred twenty-one million, one hundred thousand, four hundred one".