1313312333004 has 72 divisors (see below), whose sum is σ = 3850640521728. Its totient is φ = 369631611360.

The previous prime is 1313312332973. The next prime is 1313312333027. The reversal of 1313312333004 is 4003332133131.

1313312333004 is a `hidden beast` number, since 1 + 3 + 1 + 331 + 23 + 3 + 300 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38875332 + ... + 38909099.

Almost surely, 2^{1313312333004} is an apocalyptic number.

1313312333004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1313312333004 is an abundant number, since it is smaller than the sum of its proper divisors (2537328188724).

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

1313312333004 is a wasteful number, since it uses less digits than its factorization.

1313312333004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77784515 (or 77784510 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1313312333004 its reverse (4003332133131), we get a palindrome (5316644466135).

The spelling of 1313312333004 in words is "one trillion, three hundred thirteen billion, three hundred twelve million, three hundred thirty-three thousand, four".