13045032 has 192 divisors, whose sum is σ = 47698560. Its totient is φ = 3110400.

The previous prime is 13045031. The next prime is 13045051. The reversal of 13045032 is 23054031.

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

It is a junction number, because it is equal to n+sod(n) for n = 13044996 and 13045014.

It is not an unprimeable number, because it can be changed into a prime (13045031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71982 + ... + 72162.

It is an arithmetic number, because the mean of its divisors is an integer number (248430).

Almost surely, 2^13045032 is an apocalyptic number.

13045032 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 13045032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23849280).

13045032 is an abundant number, since it is smaller than the sum of its proper divisors (34653528).

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

13045032 is a wasteful number, since it uses less digits than its factorization.

13045032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13045032 is about 3611.7906916099. The cubic root of 13045032 is about 235.4046566597.

Adding to 13045032 its reverse (23054031), we get a palindrome (36099063).

It can be divided in two parts, 1304 and 5032, that added together give a palindrome (6336).

The spelling of 13045032 in words is "thirteen million, forty-five thousand, thirty-two".