1023033163013 has 2 divisors, whose sum is σ = 1023033163014. Its totient is φ = 1023033163012.

The previous prime is 1023033162971. The next prime is 1023033163037. The reversal of 1023033163013 is 3103613303201.

1023033163013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 585924418849 + 437108744164 = 765457^2 + 661142^2 .

It is an emirp because it is prime and its reverse (3103613303201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1023033163013 - 2⁸ = 1023033162757 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023033163073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511516581506 + 511516581507.

It is an arithmetic number, because the mean of its divisors is an integer number (511516581507).

Almost surely, 2^{1023033163013} is an apocalyptic number.

It is an amenable number.

1023033163013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023033163013 is an equidigital number, since it uses as much as digits as its factorization.

1023033163013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 1023033163013 its reverse (3103613303201), we get a palindrome (4126646466214).

The spelling of 1023033163013 in words is "one trillion, twenty-three billion, thirty-three million, one hundred sixty-three thousand, thirteen".