12330133132031 has 24 divisors (see below), whose sum is σ = 15454049697072. Its totient is φ = 9738319852800.

The previous prime is 12330133132007. The next prime is 12330133132103. The reversal of 12330133132031 is 13023133103321.

It is not a de Polignac number, because 12330133132031 - 2³⁸ = 12055255225087 is a prime.

It is a super-3 number, since 3×12330133132031³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330133134031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230520605 + ... + 230574086.

It is an arithmetic number, because the mean of its divisors is an integer number (643918737378).

Almost surely, 2^{12330133132031} is an apocalyptic number.

12330133132031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12330133132031 is a deficient number, since it is larger than the sum of its proper divisors (3123916565041).

12330133132031 is a wasteful number, since it uses less digits than its factorization.

12330133132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461094743 (or 461094732 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 12330133132031 its reverse (13023133103321), we get a palindrome (25353266235352).

The spelling of 12330133132031 in words is "twelve trillion, three hundred thirty billion, one hundred thirty-three million, one hundred thirty-two thousand, thirty-one".