331010033001313 has 2 divisors, whose sum is σ = 331010033001314. Its totient is φ = 331010033001312.

The previous prime is 331010033001299. The next prime is 331010033001353. The reversal of 331010033001313 is 313100330010133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185223171947584 + 145786861053729 = 13609672^2 + 12074223^2 .

It is an emirp because it is prime and its reverse (313100330010133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331010033001313 - 2¹³ = 331010032993121 is a prime.

It is not a weakly prime, because it can be changed into another prime (331010033001353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165505016500656 + 165505016500657.

It is an arithmetic number, because the mean of its divisors is an integer number (165505016500657).

Almost surely, 2^{331010033001313} is an apocalyptic number.

It is an amenable number.

331010033001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

331010033001313 is an equidigital number, since it uses as much as digits as its factorization.

331010033001313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 331010033001313 its reverse (313100330010133), we get a palindrome (644110363011446).

The spelling of 331010033001313 in words is "three hundred thirty-one trillion, ten billion, thirty-three million, one thousand, three hundred thirteen".