1313361576792 has 96 divisors (see below), whose sum is σ = 3633085310400. Its totient is φ = 428427389952.

The previous prime is 1313361576719. The next prime is 1313361576803. The reversal of 1313361576792 is 2976751633131.

It is a happy number.

1313361576792 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 61 + 576 + 7 + 9 + 2 = 666.

It is a super-2 number, since 2×1313361576792² (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 50506738 + ... + 50532734.

It is an arithmetic number, because the mean of its divisors is an integer number (37844638650).

Almost surely, 2^{1313361576792} is an apocalyptic number.

1313361576792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313361576792 is an abundant number, since it is smaller than the sum of its proper divisors (2319723733608).

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

1313361576792 is a wasteful number, since it uses less digits than its factorization.

1313361576792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40985 (or 40978 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The spelling of 1313361576792 in words is "one trillion, three hundred thirteen billion, three hundred sixty-one million, five hundred seventy-six thousand, seven hundred ninety-two".