123133133013 has 32 divisors (see below), whose sum is σ = 180111859200. Its totient is φ = 74206862400.

The previous prime is 123133132963. The next prime is 123133133029. The reversal of 123133133013 is 310331331321.

It is not a de Polignac number, because 123133133013 - 2¹⁴ = 123133116629 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123133133213) 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, 4234558 + ... + 4263536.

It is an arithmetic number, because the mean of its divisors is an integer number (5628495600).

Almost surely, 2^123133133013 is an apocalyptic number.

It is an amenable number.

123133133013 is a deficient number, since it is larger than the sum of its proper divisors (56978726187).

123133133013 is a wasteful number, since it uses less digits than its factorization.

123133133013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29713.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 123133133013 its reverse (310331331321), we get a palindrome (433464464334).

The spelling of 123133133013 in words is "one hundred twenty-three billion, one hundred thirty-three million, one hundred thirty-three thousand, thirteen".