113213952 has 120 divisors (see below), whose sum is σ = 331943040. Its totient is φ = 37140480.

The previous prime is 113213927. The next prime is 113213959. The reversal of 113213952 is 259312311.

It is not an unprimeable number, because it can be changed into a prime (113213959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363877 + ... + 364187.

It is an arithmetic number, because the mean of its divisors is an integer number (2766192).

Almost surely, 2^113213952 is an apocalyptic number.

113213952 is a gapful number since it is divisible by the number (12) 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 113213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165971520).

113213952 is an abundant number, since it is smaller than the sum of its proper divisors (218729088).

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

113213952 is an equidigital number, since it uses as much as digits as its factorization.

113213952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 395 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 113213952 is about 10640.2045093128. The cubic root of 113213952 is about 483.7637441761.

The spelling of 113213952 in words is "one hundred thirteen million, two hundred thirteen thousand, nine hundred fifty-two".