1131332100 has 72 divisors (see below), whose sum is σ = 3318225120. Its totient is φ = 297550080.

The previous prime is 1131332087. The next prime is 1131332123. The reversal of 1131332100 is 12331311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1131332100.

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, 3930 + ... + 47729.

It is an arithmetic number, because the mean of its divisors is an integer number (46086460).

Almost surely, 2^1131332100 is an apocalyptic number.

1131332100 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 1131332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659112560).

1131332100 is an abundant number, since it is smaller than the sum of its proper divisors (2186893020).

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

1131332100 is a wasteful number, since it uses less digits than its factorization.

1131332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51749 (or 51742 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1131332100 is about 33635.2805845291. The cubic root of 1131332100 is about 1041.9895654610.

Adding to 1131332100 its reverse (12331311), we get a palindrome (1143663411).

The spelling of 1131332100 in words is "one billion, one hundred thirty-one million, three hundred thirty-two thousand, one hundred".