12131102002113 has 48 divisors (see below), whose sum is σ = 18277078242384. Its totient is φ = 7748624332800.

The previous prime is 12131102002093. The next prime is 12131102002133. The reversal of 12131102002113 is 31120020113121.

12131102002113 is a `hidden beast` number, since 121 + 311 + 0 + 20 + 0 + 211 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (12131102002093) and next prime (12131102002133).

It can be written as a sum of positive squares in 8 ways, for example, as 2228550365889 + 9902551636224 = 1492833^2 + 3146832^2 .

It is not a de Polignac number, because 12131102002113 - 2⁵ = 12131102002081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12131102002133) 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 47 ways as a sum of consecutive naturals, for example, 1792245 + ... + 5241597.

It is an arithmetic number, because the mean of its divisors is an integer number (380772463383).

Almost surely, 2^{12131102002113} is an apocalyptic number.

It is an amenable number.

12131102002113 is a deficient number, since it is larger than the sum of its proper divisors (6145976240271).

12131102002113 is a wasteful number, since it uses less digits than its factorization.

12131102002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449586 (or 3449583 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12131102002113 its reverse (31120020113121), we get a palindrome (43251122115234).

The spelling of 12131102002113 in words is "twelve trillion, one hundred thirty-one billion, one hundred two million, two thousand, one hundred thirteen".