100311113000 has 128 divisors (see below), whose sum is σ = 273969146880. Its totient is φ = 33660518400.

The previous prime is 100311112927. The next prime is 100311113009. The reversal of 100311113000 is 311113001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100311113009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176552 + ... + 481448.

It is an arithmetic number, because the mean of its divisors is an integer number (2140383960).

Almost surely, 2^100311113000 is an apocalyptic number.

100311113000 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 100311113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136984573440).

100311113000 is an abundant number, since it is smaller than the sum of its proper divisors (173658033880).

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

100311113000 is a wasteful number, since it uses less digits than its factorization.

100311113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304972 (or 304958 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 100311113000 its reverse (311113001), we get a palindrome (100622226001).

Subtracting from 100311113000 its reverse (311113001), we obtain a palindrome (99999999999).

The spelling of 100311113000 in words is "one hundred billion, three hundred eleven million, one hundred thirteen thousand".