331132012333013 has 2 divisors, whose sum is σ = 331132012333014. Its totient is φ = 331132012333012.

The previous prime is 331132012333007. The next prime is 331132012333019. The reversal of 331132012333013 is 310333210231133.

It is a balanced prime because it is at equal distance from previous prime (331132012333007) and next prime (331132012333019).

It can be written as a sum of positive squares in only one way, i.e., 276678578460964 + 54453433872049 = 16633658^2 + 7379257^2 .

It is a cyclic number.

It is not a de Polignac number, because 331132012333013 - 2¹⁸ = 331132012070869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331132012333019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165566006166506 + 165566006166507.

It is an arithmetic number, because the mean of its divisors is an integer number (165566006166507).

Almost surely, 2^{331132012333013} is an apocalyptic number.

It is an amenable number.

331132012333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

331132012333013 is an equidigital number, since it uses as much as digits as its factorization.

331132012333013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 331132012333013 its reverse (310333210231133), we get a palindrome (641465222564146).

The spelling of 331132012333013 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, twelve million, three hundred thirty-three thousand, thirteen".