1030100013 has 12 divisors (see below), whose sum is σ = 1502369440. Its totient is φ = 680065416.

The previous prime is 1030100003. The next prime is 1030100033. The reversal of 1030100013 is 3100010301.

1030100013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1030100013 - 2¹⁴ = 1030083629 is a prime.

It is a super-2 number, since 2×1030100013² = 2122212073565200338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1030099968 and 1030100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030100003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 554683 + ... + 556536.

Almost surely, 2^1030100013 is an apocalyptic number.

It is an amenable number.

1030100013 is a deficient number, since it is larger than the sum of its proper divisors (472269427).

1030100013 is a wasteful number, since it uses less digits than its factorization.

1030100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111328 (or 1111325 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1030100013 is about 32095.1711788549. The cubic root of 1030100013 is about 1009.9343201416.

Adding to 1030100013 its reverse (3100010301), we get a palindrome (4130110314).

The spelling of 1030100013 in words is "one billion, thirty million, one hundred thousand, thirteen".