1000010100013 has 16 divisors (see below), whose sum is σ = 1124067340800. Its totient is φ = 885203000640.

The previous prime is 1000010100007. The next prime is 1000010100059. The reversal of 1000010100013 is 3100010100001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1000010100013 - 2⁵ = 1000010099981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000010099969 and 1000010100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000010107013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29255506 + ... + 29289667.

It is an arithmetic number, because the mean of its divisors is an integer number (70254208800).

Almost surely, 2^{1000010100013} is an apocalyptic number.

It is an amenable number.

1000010100013 is a deficient number, since it is larger than the sum of its proper divisors (124057240787).

1000010100013 is a wasteful number, since it uses less digits than its factorization.

1000010100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58545252.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 1000010100013 its reverse (3100010100001), we get a palindrome (4100020200014).

The spelling of 1000010100013 in words is "one trillion, ten million, one hundred thousand, thirteen".