102133112313123 has 16 divisors (see below), whose sum is σ = 152499718594560. Its totient is φ = 67552609716648.

The previous prime is 102133112313109. The next prime is 102133112313143. The reversal of 102133112313123 is 321313211331201.

102133112313123 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 311 + 2 + 31 + 312 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-102133112313123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102133112313143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14892547215 + ... + 14892554072.

It is an arithmetic number, because the mean of its divisors is an integer number (9531232412160).

Almost surely, 2^{102133112313123} is an apocalyptic number.

102133112313123 is a deficient number, since it is larger than the sum of its proper divisors (50366606281437).

102133112313123 is a wasteful number, since it uses less digits than its factorization.

102133112313123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29785101423 (or 29785101417 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 102133112313123 its reverse (321313211331201), we get a palindrome (423446323644324).

The spelling of 102133112313123 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred twelve million, three hundred thirteen thousand, one hundred twenty-three".