12131001012033 has 10 divisors (see below), whose sum is σ = 18121618795874. Its totient is φ = 8087334007968.

The previous prime is 12131001012019. The next prime is 12131001012077. The reversal of 12131001012033 is 33021010013121.

It can be written as a sum of positive squares in only one way, i.e., 12025692324864 + 105308687169 = 3467808^2 + 324513^2 .

It is not a de Polignac number, because 12131001012033 - 2²⁰ = 12130999963457 is a prime.

It is a super-2 number, since 2×12131001012033² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12131001011997 and 12131001012015.

It is not an unprimeable number, because it can be changed into a prime (12131001010033) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 74882722216 + ... + 74882722377.

Almost surely, 2^{12131001012033} is an apocalyptic number.

It is an amenable number.

12131001012033 is a deficient number, since it is larger than the sum of its proper divisors (5990617783841).

12131001012033 is an equidigital number, since it uses as much as digits as its factorization.

12131001012033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149765444605 (or 149765444596 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12131001012033 its reverse (33021010013121), we get a palindrome (45152011025154).

The spelling of 12131001012033 in words is "twelve trillion, one hundred thirty-one billion, one million, twelve thousand, thirty-three".