13012032 has 112 divisors (see below), whose sum is σ = 38551104. Its totient is φ = 3840000.

The previous prime is 13012019. The next prime is 13012061. The reversal of 13012032 is 23021031.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13011999 and 13012017.

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, 128782 + ... + 128882.

Almost surely, 2^13012032 is an apocalyptic number.

13012032 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 13012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19275552).

13012032 is an abundant number, since it is smaller than the sum of its proper divisors (25539072).

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

13012032 is a wasteful number, since it uses less digits than its factorization.

13012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13012032 is about 3607.2194277587. The cubic root of 13012032 is about 235.2059880932.

Adding to 13012032 its reverse (23021031), we get a palindrome (36033063).

It can be divided in two parts, 1301 and 2032, that added together give a palindrome (3333).

The spelling of 13012032 in words is "thirteen million, twelve thousand, thirty-two".