13005123210 has 32 divisors (see below), whose sum is σ = 34680329280. Its totient is φ = 3468032784.

The previous prime is 13005123191. The next prime is 13005123253. The reversal of 13005123210 is 1232150031.

13005123210 is a `hidden beast` number, since 130 + 0 + 512 + 3 + 21 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24083292 + ... + 24083831.

It is an arithmetic number, because the mean of its divisors is an integer number (1083760290).

Almost surely, 2^13005123210 is an apocalyptic number.

13005123210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13005123210 is an abundant number, since it is smaller than the sum of its proper divisors (21675206070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13005123210 is a wasteful number, since it uses less digits than its factorization.

13005123210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48167139 (or 48167133 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 13005123210 its reverse (1232150031), we get a palindrome (14237273241).

The spelling of 13005123210 in words is "thirteen billion, five million, one hundred twenty-three thousand, two hundred ten".