113201401133000 has 256 divisors, whose sum is σ = 281616167888640. Its totient is φ = 42443481600000.

The previous prime is 113201401132993. The next prime is 113201401133027. The reversal of 113201401133000 is 331104102311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10829555774 + ... + 10829566226.

It is an arithmetic number, because the mean of its divisors is an integer number (1100063155815).

Almost surely, 2^{113201401133000} is an apocalyptic number.

113201401133000 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 113201401133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140808083944320).

113201401133000 is an abundant number, since it is smaller than the sum of its proper divisors (168414766755640).

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

113201401133000 is a wasteful number, since it uses less digits than its factorization.

113201401133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13025 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 113201401133000 its reverse (331104102311), we get a palindrome (113532505235311).

The spelling of 113201401133000 in words is "one hundred thirteen trillion, two hundred one billion, four hundred one million, one hundred thirty-three thousand".