1131032100 has 144 divisors (see below), whose sum is σ = 3780133056. Its totient is φ = 258048000.

The previous prime is 1131032099. The next prime is 1131032101. The reversal of 1131032100 is 12301311.

1131032100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1131032099) and next prime (1131032101).

It is a super-2 number, since 2×1131032100² = 2558467222460820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1131032101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46020 + ... + 66180.

It is an arithmetic number, because the mean of its divisors is an integer number (26250924).

Almost surely, 2^1131032100 is an apocalyptic number.

1131032100 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 1131032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890066528).

1131032100 is an abundant number, since it is smaller than the sum of its proper divisors (2649100956).

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

1131032100 is a wasteful number, since it uses less digits than its factorization.

1131032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20206 (or 20199 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1131032100 is about 33630.8206857936. The cubic root of 1131032100 is about 1041.8974544282.

Adding to 1131032100 its reverse (12301311), we get a palindrome (1143333411).

The spelling of 1131032100 in words is "one billion, one hundred thirty-one million, thirty-two thousand, one hundred".