32412132312113 has 2 divisors, whose sum is σ = 32412132312114. Its totient is φ = 32412132312112.

The previous prime is 32412132312097. The next prime is 32412132312127. The reversal of 32412132312113 is 31121323121423.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32393718636304 + 18413675809 = 5691548^2 + 135697^2 .

It is an emirp because it is prime and its reverse (31121323121423) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32412132312113 - 2⁴ = 32412132312097 is a prime.

It is not a weakly prime, because it can be changed into another prime (32412132312193) 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 as a sum of consecutive naturals, namely, 16206066156056 + 16206066156057.

It is an arithmetic number, because the mean of its divisors is an integer number (16206066156057).

Almost surely, 2^{32412132312113} is an apocalyptic number.

It is an amenable number.

32412132312113 is a deficient number, since it is larger than the sum of its proper divisors (1).

32412132312113 is an equidigital number, since it uses as much as digits as its factorization.

32412132312113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 29.

Adding to 32412132312113 its reverse (31121323121423), we get a palindrome (63533455433536).

The spelling of 32412132312113 in words is "thirty-two trillion, four hundred twelve billion, one hundred thirty-two million, three hundred twelve thousand, one hundred thirteen".