1023130013 has 2 divisors, whose sum is σ = 1023130014. Its totient is φ = 1023130012.

The previous prime is 1023130001. The next prime is 1023130019. The reversal of 1023130013 is 3100313201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 840826009 + 182304004 = 28997^2 + 13502^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023130013 - 2¹⁰ = 1023128989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1023130013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023130019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511565006 + 511565007.

It is an arithmetic number, because the mean of its divisors is an integer number (511565007).

Almost surely, 2^1023130013 is an apocalyptic number.

It is an amenable number.

1023130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023130013 is an equidigital number, since it uses as much as digits as its factorization.

1023130013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1023130013 is about 31986.4035646398. The cubic root of 1023130013 is about 1007.6513124421.

Adding to 1023130013 its reverse (3100313201), we get a palindrome (4123443214).

The spelling of 1023130013 in words is "one billion, twenty-three million, one hundred thirty thousand, thirteen".