113001312 has 72 divisors (see below), whose sum is σ = 315180936. Its totient is φ = 35442688.

The previous prime is 113001311. The next prime is 113001331. The reversal of 113001312 is 213100311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113001311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25708 + ... + 29780.

It is an arithmetic number, because the mean of its divisors is an integer number (4377513).

Almost surely, 2^113001312 is an apocalyptic number.

113001312 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 113001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157590468).

113001312 is an abundant number, since it is smaller than the sum of its proper divisors (202179624).

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

113001312 is a wasteful number, since it uses less digits than its factorization.

113001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 113001312 is about 10630.2075238445. The cubic root of 113001312 is about 483.4606837894.

Adding to 113001312 its reverse (213100311), we get a palindrome (326101623).

The spelling of 113001312 in words is "one hundred thirteen million, one thousand, three hundred twelve".