10020113001000 has 768 divisors, whose sum is σ = 35652901939200. Its totient is φ = 2533386240000.

The previous prime is 10020113000983. The next prime is 10020113001047. The reversal of 10020113001000 is 10031102001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16672400700 + ... + 16672401300.

It is an arithmetic number, because the mean of its divisors is an integer number (46423049400).

Almost surely, 2^{10020113001000} is an apocalyptic number.

10020113001000 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 10020113001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17826450969600).

10020113001000 is an abundant number, since it is smaller than the sum of its proper divisors (25632788938200).

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

10020113001000 is a wasteful number, since it uses less digits than its factorization.

10020113001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10020113001000 its reverse (10031102001), we get a palindrome (10030144103001).

The spelling of 10020113001000 in words is "ten trillion, twenty billion, one hundred thirteen million, one thousand".