102113203123233 has 12 divisors (see below), whose sum is σ = 156173134188708. Its totient is φ = 64071029410560.

The previous prime is 102113203123223. The next prime is 102113203123259. The reversal of 102113203123233 is 332321302311201.

102113203123233 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 3 + 20 + 312 + 323 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61500916431504 + 40612286691729 = 7842252^2 + 6372777^2 .

It is not a de Polignac number, because 102113203123233 - 2⁴¹ = 99914179867681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102113203123197 and 102113203123206.

It is not an unprimeable number, because it can be changed into a prime (102113203123223) 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, 333703278028 + ... + 333703278333.

It is an arithmetic number, because the mean of its divisors is an integer number (13014427849059).

Almost surely, 2^{102113203123233} is an apocalyptic number.

It is an amenable number.

102113203123233 is a deficient number, since it is larger than the sum of its proper divisors (54059931065475).

102113203123233 is a wasteful number, since it uses less digits than its factorization.

102113203123233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667406556384 (or 667406556381 counting only the distinct ones).

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

Adding to 102113203123233 its reverse (332321302311201), we get a palindrome (434434505434434).

The spelling of 102113203123233 in words is "one hundred two trillion, one hundred thirteen billion, two hundred three million, one hundred twenty-three thousand, two hundred thirty-three".