1023000013 has 16 divisors (see below), whose sum is σ = 1212660864. Its totient is φ = 844689600.

The previous prime is 1022999987. The next prime is 1023000023. The reversal of 1023000013 is 3100003201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1023000013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023000023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6606 + ... + 45712.

It is an arithmetic number, because the mean of its divisors is an integer number (75791304).

Almost surely, 2^1023000013 is an apocalyptic number.

It is an amenable number.

1023000013 is a deficient number, since it is larger than the sum of its proper divisors (189660851).

1023000013 is a wasteful number, since it uses less digits than its factorization.

1023000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39252.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1023000013 is about 31984.3713866632. The cubic root of 1023000013 is about 1007.6086328811.

Adding to 1023000013 its reverse (3100003201), we get a palindrome (4123003214).

The spelling of 1023000013 in words is "one billion, twenty-three million, thirteen", and thus it is an aban number and an uban number.