1022333013 has 24 divisors (see below), whose sum is σ = 1591758168. Its totient is φ = 628549632.

The previous prime is 1022332979. The next prime is 1022333017. The reversal of 1022333013 is 3103332201.

It can be written as a sum of positive squares in 4 ways, for example, as 295599249 + 726733764 = 17193^2 + 26958^2 .

It is not a de Polignac number, because 1022333013 - 2²¹ = 1020235861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022333017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148381 + ... + 155117.

It is an arithmetic number, because the mean of its divisors is an integer number (66323257).

Almost surely, 2^1022333013 is an apocalyptic number.

1022333013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1022333013 is a deficient number, since it is larger than the sum of its proper divisors (569425155).

1022333013 is a wasteful number, since it uses less digits than its factorization.

1022333013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8053 (or 8050 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1022333013 is about 31973.9427190329. The cubic root of 1022333013 is about 1007.3895970168.

Adding to 1022333013 its reverse (3103332201), we get a palindrome (4125665214).

The spelling of 1022333013 in words is "one billion, twenty-two million, three hundred thirty-three thousand, thirteen".