1311516900 has 144 divisors (see below), whose sum is σ = 4288267200. Its totient is φ = 343768320.

The previous prime is 1311516889. The next prime is 1311516949. The reversal of 1311516900 is 96151131.

It is a super-2 number, since 2×1311516900² = 3440153157971220000, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155184 + ... + 163416.

Almost surely, 2^1311516900 is an apocalyptic number.

1311516900 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 1311516900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144133600).

1311516900 is an abundant number, since it is smaller than the sum of its proper divisors (2976750300).

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

1311516900 is a wasteful number, since it uses less digits than its factorization.

1311516900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315 (or 8302 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 1311516900 is about 36214.8712547760. The cubic root of 1311516900 is about 1094.6063512770.

The spelling of 1311516900 in words is "one billion, three hundred eleven million, five hundred sixteen thousand, nine hundred".