12002102032113 has 18 divisors (see below), whose sum is σ = 18416143491174. Its totient is φ = 7530730685184.

The previous prime is 12002102032061. The next prime is 12002102032133. The reversal of 12002102032113 is 31123020120021.

12002102032113 is a `hidden beast` number, since 120 + 0 + 210 + 2 + 0 + 321 + 13 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6392366625969 + 5609735406144 = 2528313^2 + 2368488^2 .

It is not a de Polignac number, because 12002102032113 - 2²⁴ = 12002085254897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12002102032133) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2307206556 + ... + 2307211757.

It is an arithmetic number, because the mean of its divisors is an integer number (1023119082843).

Almost surely, 2^{12002102032113} is an apocalyptic number.

It is an amenable number.

12002102032113 is a deficient number, since it is larger than the sum of its proper divisors (6414041459061).

12002102032113 is a wasteful number, since it uses less digits than its factorization.

12002102032113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614418353 (or 4614418333 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12002102032113 its reverse (31123020120021), we get a palindrome (43125122152134).

It can be divided in two parts, 1200210 and 2032113, that added together give a palindrome (3232323).

The spelling of 12002102032113 in words is "twelve trillion, two billion, one hundred two million, thirty-two thousand, one hundred thirteen".