13300032 has 56 divisors (see below), whose sum is σ = 35881056. Its totient is φ = 4346368.

The previous prime is 13299991. The next prime is 13300039. The reversal of 13300032 is 23000331.

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 = 13299990 and 13300017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9523 + ... + 10829.

Almost surely, 2^13300032 is an apocalyptic number.

13300032 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 13300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17940528).

13300032 is an abundant number, since it is smaller than the sum of its proper divisors (22581024).

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

13300032 is a wasteful number, since it uses less digits than its factorization.

13300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 13300032 is about 3646.9208930274. The cubic root of 13300032 is about 236.9286402333.

Adding to 13300032 its reverse (23000331), we get a palindrome (36300363).

It can be divided in two parts, 1 and 3300032, that added together give a palindrome (3300033).

The spelling of 13300032 in words is "thirteen million, three hundred thousand, thirty-two".