9001013112 has 256 divisors, whose sum is σ = 31281331200. Its totient is φ = 2334666240.

The previous prime is 9001013111. The next prime is 9001013117. The reversal of 9001013112 is 2113101009.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9001013111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1195263 + ... + 1202769.

It is an arithmetic number, because the mean of its divisors is an integer number (122192700).

Almost surely, 2^9001013112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9001013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15640665600).

9001013112 is an abundant number, since it is smaller than the sum of its proper divisors (22280318088).

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

9001013112 is a wasteful number, since it uses less digits than its factorization.

9001013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7603 (or 7593 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 9001013112 is about 94873.6692238684. The cubic root of 9001013112 is about 2080.1618704154.

The spelling of 9001013112 in words is "nine billion, one million, thirteen thousand, one hundred twelve".