202102310020113 has 12 divisors (see below), whose sum is σ = 293010784047540. Its totient is φ = 134234000210016.

The previous prime is 202102310020099. The next prime is 202102310020213. The reversal of 202102310020113 is 311020013201202.

202102310020113 is a `hidden beast` number, since 20 + 210 + 231 + 0 + 0 + 201 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24831006557184 + 177271303462929 = 4983072^2 + 13314327^2 .

It is not a de Polignac number, because 202102310020113 - 2¹⁶ = 202102309954577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202102310020213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41739425506 + ... + 41739430347.

It is an arithmetic number, because the mean of its divisors is an integer number (24417565337295).

Almost surely, 2^{202102310020113} is an apocalyptic number.

It is an amenable number.

202102310020113 is a deficient number, since it is larger than the sum of its proper divisors (90908474027427).

202102310020113 is a wasteful number, since it uses less digits than its factorization.

202102310020113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83478856128 (or 83478856125 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 202102310020113 its reverse (311020013201202), we get a palindrome (513122323221315).

The spelling of 202102310020113 in words is "two hundred two trillion, one hundred two billion, three hundred ten million, twenty thousand, one hundred thirteen".