1022331333013 has 2 divisors, whose sum is σ = 1022331333014. Its totient is φ = 1022331333012.

The previous prime is 1022331333011. The next prime is 1022331333017. The reversal of 1022331333013 is 3103331332201.

1022331333013 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., 573750196369 + 448581136644 = 757463^2 + 669762^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022331333013 - 2¹ = 1022331333011 is a prime.

It is a super-2 number, since 2×1022331333013² (a number of 25 digits) contains 22 as substring.

Together with 1022331333011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022331333011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511165666506 + 511165666507.

It is an arithmetic number, because the mean of its divisors is an integer number (511165666507).

Almost surely, 2^{1022331333013} is an apocalyptic number.

It is an amenable number.

1022331333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022331333013 is an equidigital number, since it uses as much as digits as its factorization.

1022331333013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 1022331333013 its reverse (3103331332201), we get a palindrome (4125662665214).

The spelling of 1022331333013 in words is "one trillion, twenty-two billion, three hundred thirty-one million, three hundred thirty-three thousand, thirteen".