132013000 has 64 divisors (see below), whose sum is σ = 353059200. Its totient is φ = 45259200.

The previous prime is 132012997. The next prime is 132013001. The reversal of 132013000 is 310231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (132013001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2430 + ... + 16429.

It is an arithmetic number, because the mean of its divisors is an integer number (5516550).

Almost surely, 2^132013000 is an apocalyptic number.

132013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132013000 is an abundant number, since it is smaller than the sum of its proper divisors (221046200).

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

132013000 is a wasteful number, since it uses less digits than its factorization.

132013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18887 (or 18873 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 132013000 is about 11489.6910315291. The cubic root of 132013000 is about 509.1810514081.

Adding to 132013000 its reverse (310231), we get a palindrome (132323231).

The spelling of 132013000 in words is "one hundred thirty-two million, thirteen thousand".