2013012032 has 112 divisors (see below), whose sum is σ = 4345228800. Its totient is φ = 922951680.

The previous prime is 2013011999. The next prime is 2013012059. The reversal of 2013012032 is 2302103102.

It is a happy number.

It is a super-3 number, since 3×2013012032³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013011998 and 2013012016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3394328 + ... + 3394920.

Almost surely, 2^2013012032 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 2013012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172614400).

2013012032 is an abundant number, since it is smaller than the sum of its proper divisors (2332216768).

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

2013012032 is a wasteful number, since it uses less digits than its factorization.

2013012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2013012032 is about 44866.6026349221. The cubic root of 2013012032 is about 1262.6475011404.

Adding to 2013012032 its reverse (2302103102), we get a palindrome (4315115134).

The spelling of 2013012032 in words is "two billion, thirteen million, twelve thousand, thirty-two".