1023331013 has 16 divisors (see below), whose sum is σ = 1105453440. Its totient is φ = 944121600.

The previous prime is 1023330991. The next prime is 1023331021. The reversal of 1023331013 is 3101333201.

It is a cyclic number.

It is not a de Polignac number, because 1023331013 - 2²⁶ = 956222149 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1023330982 and 1023331000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023331073) 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 15 ways as a sum of consecutive naturals, for example, 690233 + ... + 691713.

It is an arithmetic number, because the mean of its divisors is an integer number (69090840).

Almost surely, 2^1023331013 is an apocalyptic number.

It is an amenable number.

1023331013 is a deficient number, since it is larger than the sum of its proper divisors (82122427).

1023331013 is a wasteful number, since it uses less digits than its factorization.

1023331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428.

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

The square root of 1023331013 is about 31989.5453703237. The cubic root of 1023331013 is about 1007.7172944937.

Adding to 1023331013 its reverse (3101333201), we get a palindrome (4124664214).

The spelling of 1023331013 in words is "one billion, twenty-three million, three hundred thirty-one thousand, thirteen".