102133230312113 has 32 divisors (see below), whose sum is σ = 137148889785600. Its totient is φ = 73452307196160.

The previous prime is 102133230312107. The next prime is 102133230312131. The reversal of 102133230312113 is 311213032331201.

It is a cyclic number.

It is not a de Polignac number, because 102133230312113 - 2⁶ = 102133230312049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102133230312173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194963 + ... + 14293511.

It is an arithmetic number, because the mean of its divisors is an integer number (4285902805800).

Almost surely, 2^{102133230312113} is an apocalyptic number.

102133230312113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102133230312113 is a deficient number, since it is larger than the sum of its proper divisors (35015659473487).

102133230312113 is a wasteful number, since it uses less digits than its factorization.

102133230312113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14105817.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 102133230312113 its reverse (311213032331201), we get a palindrome (413346262643314).

The spelling of 102133230312113 in words is "one hundred two trillion, one hundred thirty-three billion, two hundred thirty million, three hundred twelve thousand, one hundred thirteen".