133132013031312 has 60 divisors (see below), whose sum is σ = 386384165403600. Its totient is φ = 44377337675808.

The previous prime is 133132013031289. The next prime is 133132013031343. The reversal of 133132013031312 is 213130310231331.

133132013031312 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 320 + 1 + 303 + 1 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17120882562 + ... + 17120890337.

It is an arithmetic number, because the mean of its divisors is an integer number (6439736090060).

Almost surely, 2^{133132013031312} is an apocalyptic number.

133132013031312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133132013031312 is an abundant number, since it is smaller than the sum of its proper divisors (253252152372288).

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

133132013031312 is an equidigital number, since it uses as much as digits as its factorization.

133132013031312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34241772922 (or 34241772904 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 133132013031312 its reverse (213130310231331), we get a palindrome (346262323262643).

The spelling of 133132013031312 in words is "one hundred thirty-three trillion, one hundred thirty-two billion, thirteen million, thirty-one thousand, three hundred twelve".