1020333013213 has 2 divisors, whose sum is σ = 1020333013214. Its totient is φ = 1020333013212.

The previous prime is 1020333013169. The next prime is 1020333013237. The reversal of 1020333013213 is 3123103330201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1016221254084 + 4111759129 = 1008078^2 + 64123^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020333013213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020333013253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510166506606 + 510166506607.

It is an arithmetic number, because the mean of its divisors is an integer number (510166506607).

Almost surely, 2^{1020333013213} is an apocalyptic number.

It is an amenable number.

1020333013213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020333013213 is an equidigital number, since it uses as much as digits as its factorization.

1020333013213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1020333013213 its reverse (3123103330201), we get a palindrome (4143436343414).

The spelling of 1020333013213 in words is "one trillion, twenty billion, three hundred thirty-three million, thirteen thousand, two hundred thirteen".