32002131112013 has 2 divisors, whose sum is σ = 32002131112014. Its totient is φ = 32002131112012.

The previous prime is 32002131112001. The next prime is 32002131112057. The reversal of 32002131112013 is 31021113120023.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30254862195364 + 1747268916649 = 5500442^2 + 1321843^2 .

It is a cyclic number.

It is not a de Polignac number, because 32002131112013 - 2⁴ = 32002131111997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32002131112213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16001065556006 + 16001065556007.

It is an arithmetic number, because the mean of its divisors is an integer number (16001065556007).

Almost surely, 2^{32002131112013} is an apocalyptic number.

It is an amenable number.

32002131112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

32002131112013 is an equidigital number, since it uses as much as digits as its factorization.

32002131112013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 32002131112013 its reverse (31021113120023), we get a palindrome (63023244232036).

The spelling of 32002131112013 in words is "thirty-two trillion, two billion, one hundred thirty-one million, one hundred twelve thousand, thirteen".