113032131000013 has 2 divisors, whose sum is σ = 113032131000014. Its totient is φ = 113032131000012.

The previous prime is 113032131000011. The next prime is 113032131000037. The reversal of 113032131000013 is 310000131230311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103123253221444 + 9908877778569 = 10154962^2 + 3147837^2 .

It is an emirp because it is prime and its reverse (310000131230311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113032131000013 - 2¹ = 113032131000011 is a prime.

Together with 113032131000011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113032131000011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56516065500006 + 56516065500007.

It is an arithmetic number, because the mean of its divisors is an integer number (56516065500007).

Almost surely, 2^{113032131000013} is an apocalyptic number.

It is an amenable number.

113032131000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113032131000013 is an equidigital number, since it uses as much as digits as its factorization.

113032131000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 113032131000013 its reverse (310000131230311), we get a palindrome (423032262230324).

The spelling of 113032131000013 in words is "one hundred thirteen trillion, thirty-two billion, one hundred thirty-one million, thirteen", and thus it is an aban number.