331003813045007 has 2 divisors, whose sum is σ = 331003813045008. Its totient is φ = 331003813045006.

The previous prime is 331003813044979. The next prime is 331003813045033. The reversal of 331003813045007 is 700540318300133.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 331003813045007 - 2⁶ = 331003813044943 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331003819045007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165501906522503 + 165501906522504.

It is an arithmetic number, because the mean of its divisors is an integer number (165501906522504).

Almost surely, 2^{331003813045007} is an apocalyptic number.

331003813045007 is a deficient number, since it is larger than the sum of its proper divisors (1).

331003813045007 is an equidigital number, since it uses as much as digits as its factorization.

331003813045007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 331003813045007 in words is "three hundred thirty-one trillion, three billion, eight hundred thirteen million, forty-five thousand, seven".