13000224130020 has 36 divisors (see below), whose sum is σ = 39434013194940. Its totient is φ = 3466726434624.

The previous prime is 13000224130009. The next prime is 13000224130037. The reversal of 13000224130020 is 2003142200031.

13000224130020 is a `hidden beast` number, since 1 + 300 + 0 + 2 + 2 + 41 + 300 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5961517990884 + 7038706139136 = 2441622^2 + 2653056^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 13000224129975 and 13000224130002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36111733515 + ... + 36111733874.

It is an arithmetic number, because the mean of its divisors is an integer number (1095389255415).

Almost surely, 2^{13000224130020} is an apocalyptic number.

13000224130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000224130020 is an abundant number, since it is smaller than the sum of its proper divisors (26433789064920).

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

13000224130020 is a wasteful number, since it uses less digits than its factorization.

13000224130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72223467404 (or 72223467399 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13000224130020 its reverse (2003142200031), we get a palindrome (15003366330051).

The spelling of 13000224130020 in words is "thirteen trillion, two hundred twenty-four million, one hundred thirty thousand, twenty".