13101322123233 has 48 divisors (see below), whose sum is σ = 20120201442432. Its totient is φ = 8186443200000.

The previous prime is 13101322123231. The next prime is 13101322123247. The reversal of 13101322123233 is 33232122310131.

13101322123233 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 322 + 12 + 323 + 3 = 666.

It is not a de Polignac number, because 13101322123233 - 2¹ = 13101322123231 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13101322123197 and 13101322123206.

It is not an unprimeable number, because it can be changed into a prime (13101322123231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297255588 + ... + 297299658.

It is an arithmetic number, because the mean of its divisors is an integer number (419170863384).

Almost surely, 2^{13101322123233} is an apocalyptic number.

It is an amenable number.

13101322123233 is a deficient number, since it is larger than the sum of its proper divisors (7018879319199).

13101322123233 is a wasteful number, since it uses less digits than its factorization.

13101322123233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52086 (or 52083 counting only the distinct ones).

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

Adding to 13101322123233 its reverse (33232122310131), we get a palindrome (46333444433364).

The spelling of 13101322123233 in words is "thirteen trillion, one hundred one billion, three hundred twenty-two million, one hundred twenty-three thousand, two hundred thirty-three".