202133121332013 has 6 divisors (see below), whose sum is σ = 291970064146254. Its totient is φ = 134755414221336.

The previous prime is 202133121332011. The next prime is 202133121332041. The reversal of 202133121332013 is 310233121331202.

202133121332013 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 3 + 312 + 1 + 332 + 0 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128316379493124 + 73816741838889 = 11327682^2 + 8591667^2 .

It is not a de Polignac number, because 202133121332013 - 2¹ = 202133121332011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202133121332011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11229617851770 + ... + 11229617851787.

It is an arithmetic number, because the mean of its divisors is an integer number (48661677357709).

Almost surely, 2^{202133121332013} is an apocalyptic number.

It is an amenable number.

202133121332013 is a deficient number, since it is larger than the sum of its proper divisors (89836942814241).

202133121332013 is a wasteful number, since it uses less digits than its factorization.

202133121332013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22459235703563 (or 22459235703560 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 202133121332013 its reverse (310233121331202), we get a palindrome (512366242663215).

The spelling of 202133121332013 in words is "two hundred two trillion, one hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-two thousand, thirteen".