1007059022213 has 2 divisors, whose sum is σ = 1007059022214. Its totient is φ = 1007059022212.

The previous prime is 1007059022197. The next prime is 1007059022237. The reversal of 1007059022213 is 3122209507001.

1007059022213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 603601578724 + 403457443489 = 776918^2 + 635183^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007059022213 - 2⁴ = 1007059022197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1007059022213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007059022413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503529511106 + 503529511107.

It is an arithmetic number, because the mean of its divisors is an integer number (503529511107).

Almost surely, 2^{1007059022213} is an apocalyptic number.

It is an amenable number.

1007059022213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007059022213 is an equidigital number, since it uses as much as digits as its factorization.

1007059022213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 1007059022213 in words is "one trillion, seven billion, fifty-nine million, twenty-two thousand, two hundred thirteen".