132513210 has 48 divisors (see below), whose sum is σ = 351876096. Its totient is φ = 34583904.

The previous prime is 132513131. The next prime is 132513217. The reversal of 132513210 is 12315231.

132513210 is a `hidden beast` number, since 132 + 513 + 21 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132513217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11434 + ... + 19893.

It is an arithmetic number, because the mean of its divisors is an integer number (7330752).

Almost surely, 2^132513210 is an apocalyptic number.

132513210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132513210 is an abundant number, since it is smaller than the sum of its proper divisors (219362886).

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

132513210 is a wasteful number, since it uses less digits than its factorization.

132513210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31387 (or 31384 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 132513210 is about 11511.4382246529. The cubic root of 132513210 is about 509.8233528939.

Adding to 132513210 its reverse (12315231), we get a palindrome (144828441).

It can be divided in two parts, 13251 and 3210, that added together give a palindrome (16461).

The spelling of 132513210 in words is "one hundred thirty-two million, five hundred thirteen thousand, two hundred ten".