133131121332012 has 48 divisors (see below), whose sum is σ = 345184310671200. Its totient is φ = 44373240944640.

The previous prime is 133131121331963. The next prime is 133131121332043. The reversal of 133131121332012 is 210233121131331.

133131121332012 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 311 + 2 + 1 + 332 + 0 + 12 = 666.

It is a super-2 number, since 2×133131121332012² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51503437 + ... + 54026532.

It is an arithmetic number, because the mean of its divisors is an integer number (7191339805650).

Almost surely, 2^{133131121332012} is an apocalyptic number.

133131121332012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133131121332012 is an abundant number, since it is smaller than the sum of its proper divisors (212053189339188).

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

133131121332012 is a wasteful number, since it uses less digits than its factorization.

133131121332012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105541663 (or 105541655 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 133131121332012 its reverse (210233121131331), we get a palindrome (343364242463343).

The spelling of 133131121332012 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, one hundred twenty-one million, three hundred thirty-two thousand, twelve".