1013031013 has 2 divisors, whose sum is σ = 1013031014. Its totient is φ = 1013031012.

The previous prime is 1013031007. The next prime is 1013031017. The reversal of 1013031013 is 3101303101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 729378049 + 283652964 = 27007^2 + 16842^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013031013 - 2¹⁷ = 1012899941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013030984 and 1013031002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013031017) 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 as a sum of consecutive naturals, namely, 506515506 + 506515507.

It is an arithmetic number, because the mean of its divisors is an integer number (506515507).

Almost surely, 2^1013031013 is an apocalyptic number.

It is an amenable number.

1013031013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013031013 is an equidigital number, since it uses as much as digits as its factorization.

1013031013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1013031013 is about 31828.1481239484. The cubic root of 1013031013 is about 1004.3249389371.

Adding to 1013031013 its reverse (3101303101), we get a palindrome (4114334114).

It can be divided in two parts, 101303101 and 3, that multiplied together give a palindrome (303909303).

The spelling of 1013031013 in words is "one billion, thirteen million, thirty-one thousand, thirteen".