12121002131331 has 64 divisors (see below), whose sum is σ = 16592378406912. Its totient is φ = 7868873682432.

The previous prime is 12121002131321. The next prime is 12121002131333. The reversal of 12121002131331 is 13313120012121.

It is not a de Polignac number, because 12121002131331 - 2²⁶ = 12120935022467 is a prime.

It is a super-2 number, since 2×12121002131331² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12121002131298 and 12121002131307.

It is not an unprimeable number, because it can be changed into a prime (12121002131333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4517703516 + ... + 4517706198.

It is an arithmetic number, because the mean of its divisors is an integer number (259255912608).

Almost surely, 2^{12121002131331} is an apocalyptic number.

12121002131331 is a deficient number, since it is larger than the sum of its proper divisors (4471376275581).

12121002131331 is a wasteful number, since it uses less digits than its factorization.

12121002131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12121002131331 its reverse (13313120012121), we get a palindrome (25434122143452).

The spelling of 12121002131331 in words is "twelve trillion, one hundred twenty-one billion, two million, one hundred thirty-one thousand, three hundred thirty-one".