1131312100 has 72 divisors (see below), whose sum is σ = 2510839296. Its totient is φ = 442320000.

The previous prime is 1131312071. The next prime is 1131312163. The reversal of 1131312100 is 12131311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164615 + ... + 1165585.

It is an arithmetic number, because the mean of its divisors is an integer number (34872768).

Almost surely, 2^1131312100 is an apocalyptic number.

1131312100 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 1131312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255419648).

1131312100 is an abundant number, since it is smaller than the sum of its proper divisors (1379527196).

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

1131312100 is a wasteful number, since it uses less digits than its factorization.

1131312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1131312100 is about 33634.9832763449. The cubic root of 1131312100 is about 1041.9834252321.

Adding to 1131312100 its reverse (12131311), we get a palindrome (1143443411).

The spelling of 1131312100 in words is "one billion, one hundred thirty-one million, three hundred twelve thousand, one hundred".