1313693136 has 360 divisors, whose sum is σ = 4630953600. Its totient is φ = 345461760.

The previous prime is 1313693111. The next prime is 1313693149. The reversal of 1313693136 is 6313963131.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1313693136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5496505 + ... + 5496743.

It is an arithmetic number, because the mean of its divisors is an integer number (12863760).

Almost surely, 2^1313693136 is an apocalyptic number.

1313693136 is a gapful number since it is divisible by the number (16) 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 1313693136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315476800).

1313693136 is an abundant number, since it is smaller than the sum of its proper divisors (3317260464).

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

1313693136 is a wasteful number, since it uses less digits than its factorization.

1313693136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 1313693136 is about 36244.9049660776. The cubic root of 1313693136 is about 1095.2114535031.

The spelling of 1313693136 in words is "one billion, three hundred thirteen million, six hundred ninety-three thousand, one hundred thirty-six".