3130400040313 has 16 divisors (see below), whose sum is σ = 3853937283840. Its totient is φ = 2476068952896.

The previous prime is 3130400040293. The next prime is 3130400040343.

It is a happy number.

3130400040313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3130400040313 - 2⁹ = 3130400039801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3130400040343) 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, 4766845 + ... + 5383642.

It is an arithmetic number, because the mean of its divisors is an integer number (240871080240).

Almost surely, 2^{3130400040313} is an apocalyptic number.

It is an amenable number.

3130400040313 is a deficient number, since it is larger than the sum of its proper divisors (723537243527).

3130400040313 is a wasteful number, since it uses less digits than its factorization.

3130400040313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10153896.

The product of its (nonzero) digits is 1296, while the sum is 22.

Multiplying 3130400040313 by its sum of digits (22), we get a palindrome (68868800886886).

It can be divided in two parts, 31304000 and 40313, that added together give a palindrome (31344313).

The spelling of 3130400040313 in words is "three trillion, one hundred thirty billion, four hundred million, forty thousand, three hundred thirteen".