3332113302013 has 2 divisors, whose sum is σ = 3332113302014. Its totient is φ = 3332113302012.

The previous prime is 3332113301941. The next prime is 3332113302031. The reversal of 3332113302013 is 3102033112333.

3332113302013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (3332113302031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2290809385764 + 1041303916249 = 1513542^2 + 1020443^2 .

It is a cyclic number.

It is not a de Polignac number, because 3332113302013 - 2²¹ = 3332111204861 is a prime.

It is a super-2 number, since 2×3332113302013² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3332113302083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1666056651006 + 1666056651007.

It is an arithmetic number, because the mean of its divisors is an integer number (1666056651007).

Almost surely, 2^{3332113302013} is an apocalyptic number.

It is an amenable number.

3332113302013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3332113302013 is an equidigital number, since it uses as much as digits as its factorization.

3332113302013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 3332113302013 its reverse (3102033112333), we get a palindrome (6434146414346).

The spelling of 3332113302013 in words is "three trillion, three hundred thirty-two billion, one hundred thirteen million, three hundred two thousand, thirteen".