1020331313 has 16 divisors (see below), whose sum is σ = 1131428736. Its totient is φ = 915214080.

The previous prime is 1020331261. The next prime is 1020331327. The reversal of 1020331313 is 3131330201.

It is a cyclic number.

It is not a de Polignac number, because 1020331313 - 2²⁸ = 751895857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020331291 and 1020331300.

It is not an unprimeable number, because it can be changed into a prime (1020331393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106043 + ... + 115263.

It is an arithmetic number, because the mean of its divisors is an integer number (70714296).

Almost surely, 2^1020331313 is an apocalyptic number.

It is an amenable number.

1020331313 is a deficient number, since it is larger than the sum of its proper divisors (111097423).

1020331313 is a wasteful number, since it uses less digits than its factorization.

1020331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9544.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1020331313 is about 31942.6253304264. The cubic root of 1020331313 is about 1006.7316870394.

Adding to 1020331313 its reverse (3131330201), we get a palindrome (4151661514).

The spelling of 1020331313 in words is "one billion, twenty million, three hundred thirty-one thousand, three hundred thirteen".