132013300 has 36 divisors (see below), whose sum is σ = 287018956. Its totient is φ = 52704000.

The previous prime is 132013291. The next prime is 132013303. The reversal of 132013300 is 3310231.

It can be written as a sum of positive squares in 6 ways, for example, as 131044 + 131882256 = 362^2 + 11484^2 .

It is a super-2 number, since 2×132013300² = 34855022753780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132013303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72400 + ... + 74200.

Almost surely, 2^132013300 is an apocalyptic number.

132013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132013300 is an abundant number, since it is smaller than the sum of its proper divisors (155005656).

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

132013300 is a wasteful number, since it uses less digits than its factorization.

132013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 132013300 is about 11489.7040867030. The cubic root of 132013300 is about 509.1814371131.

Adding to 132013300 its reverse (3310231), we get a palindrome (135323531).

The spelling of 132013300 in words is "one hundred thirty-two million, thirteen thousand, three hundred".