132210101313 has 72 divisors (see below), whose sum is σ = 205255552320. Its totient is φ = 85025233440.

The previous prime is 132210101299. The next prime is 132210101329. The reversal of 132210101313 is 313101012231.

132210101313 is a `hidden beast` number, since 132 + 210 + 10 + 1 + 313 = 666.

It is not a de Polignac number, because 132210101313 - 2²¹ = 132208004161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132210101333) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38110143 + ... + 38113611.

It is an arithmetic number, because the mean of its divisors is an integer number (2850771560).

Almost surely, 2^132210101313 is an apocalyptic number.

It is an amenable number.

132210101313 is a deficient number, since it is larger than the sum of its proper divisors (73045451007).

132210101313 is an frugal number, since it uses more digits than its factorization.

132210101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132210101313 its reverse (313101012231), we get a palindrome (445311113544).

The spelling of 132210101313 in words is "one hundred thirty-two billion, two hundred ten million, one hundred one thousand, three hundred thirteen".