1131142100 has 144 divisors (see below), whose sum is σ = 2821694400. Its totient is φ = 389760000.

The previous prime is 1131142099. The next prime is 1131142121. The reversal of 1131142100 is 12411311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1881800 + ... + 1882400.

It is an arithmetic number, because the mean of its divisors is an integer number (19595100).

Almost surely, 2^1131142100 is an apocalyptic number.

1131142100 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 1131142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410847200).

1131142100 is an abundant number, since it is smaller than the sum of its proper divisors (1690552300).

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

1131142100 is a wasteful number, since it uses less digits than its factorization.

1131142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1131142100 is about 33632.4560506663. The cubic root of 1131142100 is about 1041.9312303646.

Adding to 1131142100 its reverse (12411311), we get a palindrome (1143553411).

The spelling of 1131142100 in words is "one billion, one hundred thirty-one million, one hundred forty-two thousand, one hundred".