1313605306404 has 72 divisors (see below), whose sum is σ = 3351900988800. Its totient is φ = 433743976512.

The previous prime is 1313605306399. The next prime is 1313605306417. The reversal of 1313605306404 is 4046035063131.

1313605306404 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 6 + 0 + 5 + 3 + 0 + 640 + 4 = 666.

It is a super-2 number, since 2×1313605306404² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1634947 + ... + 2302229.

It is an arithmetic number, because the mean of its divisors is an integer number (46554180400).

Almost surely, 2^{1313605306404} is an apocalyptic number.

It is an amenable number.

1313605306404 is an abundant number, since it is smaller than the sum of its proper divisors (2038295682396).

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

1313605306404 is a wasteful number, since it uses less digits than its factorization.

1313605306404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667809 (or 667804 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 1313605306404 in words is "one trillion, three hundred thirteen billion, six hundred five million, three hundred six thousand, four hundred four".