3122331300401 has 16 divisors (see below), whose sum is σ = 3208438381008. Its totient is φ = 3036710476800.

The previous prime is 3122331300359. The next prime is 3122331300421. The reversal of 3122331300401 is 1040031332213.

It can be written as a sum of positive squares in 8 ways, for example, as 991458318400 + 2130872982001 = 995720^2 + 1459751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3122331300401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3122331300421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20403311 + ... + 20555771.

It is an arithmetic number, because the mean of its divisors is an integer number (200527398813).

Almost surely, 2^{3122331300401} is an apocalyptic number.

It is an amenable number.

3122331300401 is a deficient number, since it is larger than the sum of its proper divisors (86107080607).

3122331300401 is a wasteful number, since it uses less digits than its factorization.

3122331300401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154052.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 3122331300401 its reverse (1040031332213), we get a palindrome (4162362632614).

The spelling of 3122331300401 in words is "three trillion, one hundred twenty-two billion, three hundred thirty-one million, three hundred thousand, four hundred one".