10311319905504 has 48 divisors (see below), whose sum is σ = 27448443146880. Its totient is φ = 3388696680320.

The previous prime is 10311319905493. The next prime is 10311319905511. The reversal of 10311319905504 is 40550991311301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 756398694 + ... + 756412325.

It is an arithmetic number, because the mean of its divisors is an integer number (571842565560).

Almost surely, 2^{10311319905504} is an apocalyptic number.

It is an amenable number.

10311319905504 is an abundant number, since it is smaller than the sum of its proper divisors (17137123241376).

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

10311319905504 is a wasteful number, since it uses less digits than its factorization.

10311319905504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512811103 (or 1512811095 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The spelling of 10311319905504 in words is "ten trillion, three hundred eleven billion, three hundred nineteen million, nine hundred five thousand, five hundred four".