113331333013 has 2 divisors, whose sum is σ = 113331333014. Its totient is φ = 113331333012.

The previous prime is 113331333007. The next prime is 113331333023. The reversal of 113331333013 is 310333133311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73019929284 + 40311403729 = 270222^2 + 200777^2 .

It is an emirp because it is prime and its reverse (310333133311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113331333013 - 2²¹ = 113329235861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113331333023) 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, 56665666506 + 56665666507.

It is an arithmetic number, because the mean of its divisors is an integer number (56665666507).

Almost surely, 2^113331333013 is an apocalyptic number.

It is an amenable number.

113331333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113331333013 is an equidigital number, since it uses as much as digits as its factorization.

113331333013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 113331333013 its reverse (310333133311), we get a palindrome (423664466324).

The spelling of 113331333013 in words is "one hundred thirteen billion, three hundred thirty-one million, three hundred thirty-three thousand, thirteen".