3131323404001 has 16 divisors (see below), whose sum is σ = 3657645624528. Its totient is φ = 2654073907200.

The previous prime is 3131323403981. The next prime is 3131323404007. The reversal of 3131323404001 is 1004043231313.

3131323404001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 518652030625 + 2612671373376 = 720175^2 + 1616376^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131323404001 - 2¹⁵ = 3131323371233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3131323404007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172782210 + ... + 172800331.

It is an arithmetic number, because the mean of its divisors is an integer number (228602851533).

Almost surely, 2^{3131323404001} is an apocalyptic number.

It is an amenable number.

3131323404001 is a deficient number, since it is larger than the sum of its proper divisors (526322220527).

3131323404001 is a wasteful number, since it uses less digits than its factorization.

3131323404001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345582612.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 3131323404001 its reverse (1004043231313), we get a palindrome (4135366635314).

The spelling of 3131323404001 in words is "three trillion, one hundred thirty-one billion, three hundred twenty-three million, four hundred four thousand, one".