113130132000 has 192 divisors, whose sum is σ = 371003068800. Its totient is φ = 30136396800.

The previous prime is 113130131969. The next prime is 113130132001. The reversal of 113130132000 is 231031311.

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

It is not an unprimeable number, because it can be changed into a prime (113130132001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12823591 + ... + 12832409.

It is an arithmetic number, because the mean of its divisors is an integer number (1932307650).

Almost surely, 2^113130132000 is an apocalyptic number.

113130132000 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 113130132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185501534400).

113130132000 is an abundant number, since it is smaller than the sum of its proper divisors (257872936800).

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

113130132000 is a wasteful number, since it uses less digits than its factorization.

113130132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9916 (or 9898 counting only the distinct ones).

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

Adding to 113130132000 its reverse (231031311), we get a palindrome (113361163311).

The spelling of 113130132000 in words is "one hundred thirteen billion, one hundred thirty million, one hundred thirty-two thousand".