31133133032121 has 24 divisors (see below), whose sum is σ = 47356038649920. Its totient is φ = 19655092876896.

The previous prime is 31133133032017. The next prime is 31133133032173. The reversal of 31133133032121 is 12123033133113.

31133133032121 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 3 + 1 + 330 + 321 + 2 + 1 = 666.

It is not a de Polignac number, because 31133133032121 - 2¹⁰ = 31133133031097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31133133032621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36327565 + ... + 37174698.

It is an arithmetic number, because the mean of its divisors is an integer number (1973168277080).

Almost surely, 2^{31133133032121} is an apocalyptic number.

It is an amenable number.

31133133032121 is a deficient number, since it is larger than the sum of its proper divisors (16222905617799).

31133133032121 is a wasteful number, since it uses less digits than its factorization.

31133133032121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73504765 (or 73504762 counting only the distinct ones).

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

Adding to 31133133032121 its reverse (12123033133113), we get a palindrome (43256166165234).

The spelling of 31133133032121 in words is "thirty-one trillion, one hundred thirty-three billion, one hundred thirty-three million, thirty-two thousand, one hundred twenty-one".