1030113013 has 2 divisors, whose sum is σ = 1030113014. Its totient is φ = 1030113012.

The previous prime is 1030112969. The next prime is 1030113047. The reversal of 1030113013 is 3103110301.

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., 1012321489 + 17791524 = 31817^2 + 4218^2 .

It is an emirp because it is prime and its reverse (3103110301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1030113013 - 2¹³ = 1030104821 is a prime.

It is a super-2 number, since 2×1030113013² = 2122265639103876338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030112984 and 1030113002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1030113613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515056506 + 515056507.

It is an arithmetic number, because the mean of its divisors is an integer number (515056507).

Almost surely, 2^1030113013 is an apocalyptic number.

It is an amenable number.

1030113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1030113013 is an equidigital number, since it uses as much as digits as its factorization.

1030113013 is an evil number, because the sum of its binary digits is even.

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

The square root of 1030113013 is about 32095.3737008934. The cubic root of 1030113013 is about 1009.9385686258.

Adding to 1030113013 its reverse (3103110301), we get a palindrome (4133223314).

The spelling of 1030113013 in words is "one billion, thirty million, one hundred thirteen thousand, thirteen".