113213088 has 72 divisors (see below), whose sum is σ = 328068468. Its totient is φ = 37020672.

The previous prime is 113213041. The next prime is 113213099. The reversal of 113213088 is 880312311.

It can be written as a sum of positive squares in 2 ways, for example, as 104284944 + 8928144 = 10212^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11556 + ... + 18972.

Almost surely, 2^113213088 is an apocalyptic number.

113213088 is a gapful number since it is divisible by the number (18) 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 113213088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164034234).

113213088 is an abundant number, since it is smaller than the sum of its proper divisors (214855380).

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

113213088 is a wasteful number, since it uses less digits than its factorization.

113213088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486 (or 7475 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 113213088 is about 10640.1639085119. The cubic root of 113213088 is about 483.7625135477.

Adding to 113213088 its reverse (880312311), we get a palindrome (993525399).

The spelling of 113213088 in words is "one hundred thirteen million, two hundred thirteen thousand, eighty-eight".