1131310400 has 84 divisors (see below), whose sum is σ = 3036844320. Its totient is φ = 411379200.

The previous prime is 1131310399. The next prime is 1131310403. The reversal of 1131310400 is 40131311.

1131310400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1131310400² = 2559726442296320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131310403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14540 + ... + 49739.

Almost surely, 2^1131310400 is an apocalyptic number.

1131310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131310400 is an abundant number, since it is smaller than the sum of its proper divisors (1905533920).

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

1131310400 is a wasteful number, since it uses less digits than its factorization.

1131310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64312 (or 64297 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1131310400 is about 33634.9580050280. The cubic root of 1131310400 is about 1041.9829033093.

Adding to 1131310400 its reverse (40131311), we get a palindrome (1171441711).

Subtracting from 1131310400 its reverse (40131311), we obtain a square (1091179089 = 33033²).

The spelling of 1131310400 in words is "one billion, one hundred thirty-one million, three hundred ten thousand, four hundred".