332301331132013 has 2 divisors, whose sum is σ = 332301331132014. Its totient is φ = 332301331132012.

The previous prime is 332301331131983. The next prime is 332301331132079. The reversal of 332301331132013 is 310231133103233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 261099158224969 + 71202172907044 = 16158563^2 + 8438138^2 .

It is a cyclic number.

It is not a de Polignac number, because 332301331132013 - 2⁴⁸ = 50826354421357 is a prime.

It is a super-2 number, since 2×332301331132013² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (332301331132313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166150665566006 + 166150665566007.

It is an arithmetic number, because the mean of its divisors is an integer number (166150665566007).

Almost surely, 2^{332301331132013} is an apocalyptic number.

It is an amenable number.

332301331132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

332301331132013 is an equidigital number, since it uses as much as digits as its factorization.

332301331132013 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 332301331132013 its reverse (310231133103233), we get a palindrome (642532464235246).

The spelling of 332301331132013 in words is "three hundred thirty-two trillion, three hundred one billion, three hundred thirty-one million, one hundred thirty-two thousand, thirteen".