1311916032 has 360 divisors, whose sum is σ = 4580040192. Its totient is φ = 353894400.

The previous prime is 1311916019. The next prime is 1311916087. The reversal of 1311916032 is 2306191131.

It is a super-2 number, since 2×1311916032² = 3442247350037250048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311915987 and 1311916005.

It is a congruent number.

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, 31997932 + ... + 31997972.

Almost surely, 2^1311916032 is an apocalyptic number.

1311916032 is a gapful number since it is divisible by the number (12) 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 1311916032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290020096).

1311916032 is an abundant number, since it is smaller than the sum of its proper divisors (3268124160).

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

1311916032 is an equidigital number, since it uses as much as digits as its factorization.

1311916032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1311916032 is about 36220.3814447060. The cubic root of 1311916032 is about 1094.7173799924.

The spelling of 1311916032 in words is "one billion, three hundred eleven million, nine hundred sixteen thousand, thirty-two".