123133133303311 has 16 divisors (see below), whose sum is σ = 124509780612000. Its totient is φ = 121761565728768.

The previous prime is 123133133303261. The next prime is 123133133303333. The reversal of 123133133303311 is 113303331331321.

It is a cyclic number.

It is not a de Polignac number, because 123133133303311 - 2²⁷ = 123132999085583 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123133133303911) 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, 654768445 + ... + 654956473.

It is an arithmetic number, because the mean of its divisors is an integer number (7781861288250).

Almost surely, 2^{123133133303311} is an apocalyptic number.

123133133303311 is a deficient number, since it is larger than the sum of its proper divisors (1376647308689).

123133133303311 is a wasteful number, since it uses less digits than its factorization.

123133133303311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201498.

The product of its (nonzero) digits is 13122, while the sum is 31.

Adding to 123133133303311 its reverse (113303331331321), we get a palindrome (236436464634632).

The spelling of 123133133303311 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, one hundred thirty-three million, three hundred three thousand, three hundred eleven".