101331133033212 has 48 divisors (see below), whose sum is σ = 262715887435680. Its totient is φ = 33776331732864.

The previous prime is 101331133033211. The next prime is 101331133033237. The reversal of 101331133033212 is 212330331133101.

101331133033212 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 1 + 1 + 330 + 3 + 321 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331133033211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4742223 + ... + 15005030.

It is an arithmetic number, because the mean of its divisors is an integer number (5473247654910).

Almost surely, 2^{101331133033212} is an apocalyptic number.

101331133033212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101331133033212 is an abundant number, since it is smaller than the sum of its proper divisors (161384754402468).

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

101331133033212 is a wasteful number, since it uses less digits than its factorization.

101331133033212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19794779 (or 19794771 counting only the distinct ones).

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

Adding to 101331133033212 its reverse (212330331133101), we get a palindrome (313661464166313).

The spelling of 101331133033212 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred thirty-three million, thirty-three thousand, two hundred twelve".