123001312133 has 32 divisors (see below), whose sum is σ = 146590236672. Its totient is φ = 101019441600.

The previous prime is 123001312121. The next prime is 123001312157. The reversal of 123001312133 is 331213100321.

It is not a de Polignac number, because 123001312133 - 2²⁶ = 122934203269 is a prime.

It is a super-3 number, since 3×123001312133³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123001312183) 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, 7023518 + ... + 7041008.

It is an arithmetic number, because the mean of its divisors is an integer number (4580944896).

Almost surely, 2^123001312133 is an apocalyptic number.

It is an amenable number.

123001312133 is a deficient number, since it is larger than the sum of its proper divisors (23588924539).

123001312133 is a wasteful number, since it uses less digits than its factorization.

123001312133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17985.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 123001312133 its reverse (331213100321), we get a palindrome (454214412454).

The spelling of 123001312133 in words is "one hundred twenty-three billion, one million, three hundred twelve thousand, one hundred thirty-three".