1022033313 has 48 divisors (see below), whose sum is σ = 1853230080. Its totient is φ = 529211232.

The previous prime is 1022033303. The next prime is 1022033371. The reversal of 1022033313 is 3133302201.

It is not a de Polignac number, because 1022033313 - 2⁹ = 1022032801 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1022033303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8970 + ... + 46092.

It is an arithmetic number, because the mean of its divisors is an integer number (38608960).

Almost surely, 2^1022033313 is an apocalyptic number.

It is an amenable number.

1022033313 is a deficient number, since it is larger than the sum of its proper divisors (831196767).

1022033313 is a wasteful number, since it uses less digits than its factorization.

1022033313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37178 (or 37175 counting only the distinct ones).

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

The square root of 1022033313 is about 31969.2557467327. The cubic root of 1022033313 is about 1007.2911476317.

Adding to 1022033313 its reverse (3133302201), we get a palindrome (4155335514).

The spelling of 1022033313 in words is "one billion, twenty-two million, thirty-three thousand, three hundred thirteen".