102233013122133 has 6 divisors (see below), whose sum is σ = 147669907843094. Its totient is φ = 68155342081416.

The previous prime is 102233013122087. The next prime is 102233013122137. The reversal of 102233013122133 is 331221310332201.

102233013122133 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 330 + 1 + 312 + 2 + 13 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99637489132164 + 2595523989969 = 9981858^2 + 1611063^2 .

It is not a de Polignac number, because 102233013122133 - 2¹² = 102233013118037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102233013122097 and 102233013122106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233013122137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5679611840110 + ... + 5679611840127.

Almost surely, 2^{102233013122133} is an apocalyptic number.

It is an amenable number.

102233013122133 is a deficient number, since it is larger than the sum of its proper divisors (45436894720961).

102233013122133 is a wasteful number, since it uses less digits than its factorization.

102233013122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11359223680243 (or 11359223680240 counting only the distinct ones).

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

Adding to 102233013122133 its reverse (331221310332201), we get a palindrome (433454323454334).

The spelling of 102233013122133 in words is "one hundred two trillion, two hundred thirty-three billion, thirteen million, one hundred twenty-two thousand, one hundred thirty-three".