102223032133113 has 6 divisors (see below), whose sum is σ = 147655490858954. Its totient is φ = 68148688088736.

The previous prime is 102223032133111. The next prime is 102223032133127. The reversal of 102223032133113 is 311331230322201.

102223032133113 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 3 + 0 + 321 + 331 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77219752025529 + 25003280107584 = 8787477^2 + 5000328^2 .

It is not a de Polignac number, because 102223032133113 - 2¹ = 102223032133111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102223032133111) 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, 5679057340720 + ... + 5679057340737.

Almost surely, 2^{102223032133113} is an apocalyptic number.

It is an amenable number.

102223032133113 is a deficient number, since it is larger than the sum of its proper divisors (45432458725841).

102223032133113 is a wasteful number, since it uses less digits than its factorization.

102223032133113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11358114681463 (or 11358114681460 counting only the distinct ones).

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

Adding to 102223032133113 its reverse (311331230322201), we get a palindrome (413554262455314).

The spelling of 102223032133113 in words is "one hundred two trillion, two hundred twenty-three billion, thirty-two million, one hundred thirty-three thousand, one hundred thirteen".