10000013307 has 16 divisors (see below), whose sum is σ = 13704649728. Its totient is φ = 6482417760.

The previous prime is 10000013239. The next prime is 10000013321. The reversal of 10000013307 is 70331000001.

10000013307 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 10000013307 - 2²⁸ = 9731577851 is a prime.

It is a super-2 number, since 2×10000013307² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10000013357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145044 + ... + 202577.

It is an arithmetic number, because the mean of its divisors is an integer number (856540608).

Almost surely, 2^10000013307 is an apocalyptic number.

10000013307 is a deficient number, since it is larger than the sum of its proper divisors (3704636421).

10000013307 is a wasteful number, since it uses less digits than its factorization.

10000013307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347890.

The product of its (nonzero) digits is 63, while the sum is 15.

Adding to 10000013307 its reverse (70331000001), we get a palindrome (80331013308).

The spelling of 10000013307 in words is "ten billion, thirteen thousand, three hundred seven".