113003100 has 180 divisors, whose sum is σ = 418851664. Its totient is φ = 25816320.

The previous prime is 113003083. The next prime is 113003119. The reversal of 113003100 is 1300311.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×113003100² = 25539401219220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55704 + ... + 57696.

Almost surely, 2^113003100 is an apocalyptic number.

113003100 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 113003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209425832).

113003100 is an abundant number, since it is smaller than the sum of its proper divisors (305848564).

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

113003100 is a wasteful number, since it uses less digits than its factorization.

113003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2010 counting only the distinct ones).

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

The square root of 113003100 is about 10630.2916234692. The cubic root of 113003100 is about 483.4632336805.

Adding to 113003100 its reverse (1300311), we get a palindrome (114303411).

It can be divided in two parts, 11300 and 3100, that added together give a square (14400 = 120²).

The spelling of 113003100 in words is "one hundred thirteen million, three thousand, one hundred".