113384838100 has 72 divisors (see below), whose sum is σ = 252155423520. Its totient is φ = 44230865280.

The previous prime is 113384838089. The next prime is 113384838101. The reversal of 113384838100 is 1838483311.

It is a super-2 number, since 2×113384838100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113384838101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2813694 + ... + 2853706.

It is an arithmetic number, because the mean of its divisors is an integer number (3502158660).

Almost surely, 2^113384838100 is an apocalyptic number.

113384838100 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 113384838100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126077711760).

113384838100 is an abundant number, since it is smaller than the sum of its proper divisors (138770585420).

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

113384838100 is a wasteful number, since it uses less digits than its factorization.

113384838100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40729 (or 40722 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 113384838100 in words is "one hundred thirteen billion, three hundred eighty-four million, eight hundred thirty-eight thousand, one hundred".