113001031000 has 256 divisors, whose sum is σ = 311553889920. Its totient is φ = 37820160000.

The previous prime is 113001030997. The next prime is 113001031001. The reversal of 113001031000 is 130100311.

It is a super-2 number, since 2×113001031000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113001031001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60202062 + ... + 60203938.

Almost surely, 2^113001031000 is an apocalyptic number.

113001031000 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 113001031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155776944960).

113001031000 is an abundant number, since it is smaller than the sum of its proper divisors (198552858920).

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

113001031000 is a wasteful number, since it uses less digits than its factorization.

113001031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 113001031000 its reverse (130100311), we get a palindrome (113131131311).

The spelling of 113001031000 in words is "one hundred thirteen billion, one million, thirty-one thousand".