113132301201000 has 384 divisors, whose sum is σ = 394856700825600. Its totient is φ = 29185488000000.

The previous prime is 113132301200953. The next prime is 113132301201011. The reversal of 113132301201000 is 102103231311.

113132301201000 is a `hidden beast` number, since 1 + 1 + 313 + 230 + 1 + 20 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 837211441 + ... + 837346559.

It is an arithmetic number, because the mean of its divisors is an integer number (1028272658400).

Almost surely, 2^{113132301201000} is an apocalyptic number.

113132301201000 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 113132301201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197428350412800).

113132301201000 is an abundant number, since it is smaller than the sum of its proper divisors (281724399624600).

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

113132301201000 is a wasteful number, since it uses less digits than its factorization.

113132301201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138178 (or 138161 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113132301201000 its reverse (102103231311), we get a palindrome (113234404432311).

The spelling of 113132301201000 in words is "one hundred thirteen trillion, one hundred thirty-two billion, three hundred one million, two hundred one thousand".