102133013021333 has 12 divisors (see below), whose sum is σ = 118815092500140. Its totient is φ = 87537202284672.

The previous prime is 102133013021329. The next prime is 102133013021371. The reversal of 102133013021333 is 333120310331201.

It can be written as a sum of positive squares in 2 ways, for example, as 46347679415569 + 55785333605764 = 6807913^2 + 7468958^2 .

It is not a de Polignac number, because 102133013021333 - 2² = 102133013021329 is a prime.

It is a super-2 number, since 2×102133013021333² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133013020333) 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, 63245738 + ... + 64840491.

It is an arithmetic number, because the mean of its divisors is an integer number (9901257708345).

Almost surely, 2^{102133013021333} is an apocalyptic number.

It is an amenable number.

102133013021333 is a deficient number, since it is larger than the sum of its proper divisors (16682079478807).

102133013021333 is a wasteful number, since it uses less digits than its factorization.

102133013021333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128102516 (or 128102509 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 102133013021333 its reverse (333120310331201), we get a palindrome (435253323352534).

The spelling of 102133013021333 in words is "one hundred two trillion, one hundred thirty-three billion, thirteen million, twenty-one thousand, three hundred thirty-three".