313131400444000 has 96 divisors (see below), whose sum is σ = 769401137939616. Its totient is φ = 125246489843200.

The previous prime is 313131400443997. The next prime is 313131400444033. The reversal of 313131400444000 is 444004131313.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 313131400444000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81101394 + ... + 84874606.

It is an arithmetic number, because the mean of its divisors is an integer number (8014595186871).

Almost surely, 2^{313131400444000} is an apocalyptic number.

It is an amenable number.

313131400444000 is an abundant number, since it is smaller than the sum of its proper divisors (456269737495616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313131400444000 is a wasteful number, since it uses less digits than its factorization.

313131400444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793985 (or 3793967 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 313131400444000 its reverse (444004131313), we get a palindrome (313575404575313).

The spelling of 313131400444000 in words is "three hundred thirteen trillion, one hundred thirty-one billion, four hundred million, four hundred forty-four thousand".