13000101010 has 32 divisors (see below), whose sum is σ = 25613329392. Its totient is φ = 4721345280.

The previous prime is 13000100999. The next prime is 13000101011. The reversal of 13000101010 is 1010100031.

It is a happy number.

13000101010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 280998169 + 12719102841 = 16763^2 + 112779^2 .

13000101010 is a modest number, since divided by 101010 gives 13000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 13000100984 and 13000101002.

It is not an unprimeable number, because it can be changed into a prime (13000101011) 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, 811749 + ... + 827608.

Almost surely, 2^13000101010 is an apocalyptic number.

13000101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13000101010 is a deficient number, since it is larger than the sum of its proper divisors (12613228382).

13000101010 is a wasteful number, since it uses less digits than its factorization.

13000101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639438.

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

Adding to 13000101010 its reverse (1010100031), we get a palindrome (14010201041).

The spelling of 13000101010 in words is "thirteen billion, one hundred one thousand, ten".