1311913800 has 384 divisors, whose sum is σ = 4949683200. Its totient is φ = 317952000.

The previous prime is 1311913753. The next prime is 1311913819. The reversal of 1311913800 is 83191131.

It is a happy number.

It is a super-2 number, since 2×1311913800² = 3442235637260880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2845570 + ... + 2846030.

It is an arithmetic number, because the mean of its divisors is an integer number (12889800).

Almost surely, 2^1311913800 is an apocalyptic number.

1311913800 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 1311913800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474841600).

1311913800 is an abundant number, since it is smaller than the sum of its proper divisors (3637769400).

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

1311913800 is a wasteful number, since it uses less digits than its factorization.

1311913800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1311913800 is about 36220.3506333111. The cubic root of 1311913800 is about 1094.7167591675.

The spelling of 1311913800 in words is "one billion, three hundred eleven million, nine hundred thirteen thousand, eight hundred".