133131213122112 has 84 divisors (see below), whose sum is σ = 381598335031420. Its totient is φ = 44376867505152.

The previous prime is 133131213122021. The next prime is 133131213122113. The reversal of 133131213122112 is 211221312131331.

133131213122112 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 312 + 1 + 312 + 21 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71870786896896 + 61260426225216 = 8477664^2 + 7826904^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133131213122113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176370714 + ... + 177123942.

Almost surely, 2^{133131213122112} is an apocalyptic number.

133131213122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133131213122112 is an abundant number, since it is smaller than the sum of its proper divisors (248467121909308).

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

133131213122112 is a wasteful number, since it uses less digits than its factorization.

133131213122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060100 (or 1060087 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 133131213122112 its reverse (211221312131331), we get a palindrome (344352525253443).

The spelling of 133131213122112 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, two hundred thirteen million, one hundred twenty-two thousand, one hundred twelve".