133231131210213 has 80 divisors (see below), whose sum is σ = 203773405310640. Its totient is φ = 86727066218496.

The previous prime is 133231131210211. The next prime is 133231131210311. The reversal of 133231131210213 is 312012131132331.

133231131210213 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 311 + 312 + 10 + 21 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21114227180484 + 112116904029729 = 4595022^2 + 10588527^2 .

It is not a de Polignac number, because 133231131210213 - 2¹ = 133231131210211 is a prime.

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 (133231131210211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 768822145 + ... + 768995417.

It is an arithmetic number, because the mean of its divisors is an integer number (2547167566383).

Almost surely, 2^{133231131210213} is an apocalyptic number.

It is an amenable number.

133231131210213 is a deficient number, since it is larger than the sum of its proper divisors (70542274100427).

133231131210213 is a wasteful number, since it uses less digits than its factorization.

133231131210213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174660 (or 174651 counting only the distinct ones).

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

Adding to 133231131210213 its reverse (312012131132331), we get a palindrome (445243262342544).

The spelling of 133231131210213 in words is "one hundred thirty-three trillion, two hundred thirty-one billion, one hundred thirty-one million, two hundred ten thousand, two hundred thirteen".