1131312400 has 30 divisors (see below), whose sum is σ = 2717979002. Its totient is φ = 452524800.

The previous prime is 1131312397. The next prime is 1131312437. The reversal of 1131312400 is 42131311.

It can be written as a sum of positive squares in 3 ways, for example, as 99361024 + 1031951376 = 9968^2 + 32124^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1413741 + ... + 1414540.

Almost surely, 2^1131312400 is an apocalyptic number.

1131312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131312400 is an abundant number, since it is smaller than the sum of its proper divisors (1586666602).

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

1131312400 is a wasteful number, since it uses less digits than its factorization.

1131312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828299 (or 2828288 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1131312400 is about 33634.9877359871. The cubic root of 1131312400 is about 1041.9835173361.

Adding to 1131312400 its reverse (42131311), we get a palindrome (1173443711).

The spelling of 1131312400 in words is "one billion, one hundred thirty-one million, three hundred twelve thousand, four hundred".