1004113023100 has 144 divisors (see below), whose sum is σ = 2406010068000. Its totient is φ = 360693760000.

The previous prime is 1004113023097. The next prime is 1004113023119. The reversal of 1004113023100 is 13203114001.

It is a super-2 number, since 2×1004113023100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49873836 + ... + 49893964.

It is an arithmetic number, because the mean of its divisors is an integer number (16708403250).

Almost surely, 2^{1004113023100} is an apocalyptic number.

1004113023100 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 1004113023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203005034000).

1004113023100 is an abundant number, since it is smaller than the sum of its proper divisors (1401897044900).

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

1004113023100 is a wasteful number, since it uses less digits than its factorization.

1004113023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20704 (or 20697 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1004113023100 its reverse (13203114001), we get a palindrome (1017316137101).

Subtracting from 1004113023100 its reverse (13203114001), we obtain a palindrome (990909909099).

The spelling of 1004113023100 in words is "one trillion, four billion, one hundred thirteen million, twenty-three thousand, one hundred".