113133510 has 128 divisors (see below), whose sum is σ = 349516800. Its totient is φ = 25824096.

The previous prime is 113133499. The next prime is 113133529. The reversal of 113133510 is 15331311.

113133510 is a `hidden beast` number, since 1 + 1 + 313 + 351 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152721 + ... + 153459.

It is an arithmetic number, because the mean of its divisors is an integer number (2730600).

Almost surely, 2^113133510 is an apocalyptic number.

113133510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113133510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174758400).

113133510 is an abundant number, since it is smaller than the sum of its proper divisors (236383290).

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

113133510 is an frugal number, since it uses more digits than its factorization.

113133510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 113133510 is about 10636.4237410889. The cubic root of 113133510 is about 483.6491406819.

Adding to 113133510 its reverse (15331311), we get a palindrome (128464821).

The spelling of 113133510 in words is "one hundred thirteen million, one hundred thirty-three thousand, five hundred ten".