1130113800900 has 864 divisors, whose sum is σ = 4393192151040. Its totient is φ = 243996883200.

The previous prime is 1130113800899. The next prime is 1130113800913. The reversal of 1130113800900 is 90083110311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 781003977 + ... + 781005423.

Almost surely, 2^{1130113800900} is an apocalyptic number.

1130113800900 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 1130113800900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196596075520).

1130113800900 is an abundant number, since it is smaller than the sum of its proper divisors (3263078350140).

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

1130113800900 is a wasteful number, since it uses less digits than its factorization.

1130113800900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 1130113800900 in words is "one trillion, one hundred thirty billion, one hundred thirteen million, eight hundred thousand, nine hundred".