1313834387580 has 1152 divisors, whose sum is σ = 5104526708736. Its totient is φ = 268605849600.

The previous prime is 1313834387549. The next prime is 1313834387623. The reversal of 1313834387580 is 857834383131.

It is a happy number.

1313834387580 is a `hidden beast` number, since 1 + 3 + 13 + 8 + 3 + 43 + 8 + 7 + 580 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3969288015 + ... + 3969288345.

It is an arithmetic number, because the mean of its divisors is an integer number (4431012768).

Almost surely, 2^{1313834387580} is an apocalyptic number.

1313834387580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313834387580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552263354368).

1313834387580 is an abundant number, since it is smaller than the sum of its proper divisors (3790692321156).

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

1313834387580 is a wasteful number, since it uses less digits than its factorization.

1313834387580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1313834387580 in words is "one trillion, three hundred thirteen billion, eight hundred thirty-four million, three hundred eighty-seven thousand, five hundred eighty".