13130004240200 has 96 divisors (see below), whose sum is σ = 32325751722600. Its totient is φ = 4942636707840.

The previous prime is 13130004240181. The next prime is 13130004240289. The reversal of 13130004240200 is 204240003131.

It can be written as a sum of positive squares in 12 ways, for example, as 3661964467876 + 9468039772324 = 1913626^2 + 3077018^2 .

It is a super-2 number, since 2×13130004240200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41011142 + ... + 41330058.

Almost surely, 2^{13130004240200} is an apocalyptic number.

13130004240200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130004240200 is an abundant number, since it is smaller than the sum of its proper divisors (19195747482400).

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

13130004240200 is a wasteful number, since it uses less digits than its factorization.

13130004240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331059 (or 331050 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13130004240200 its reverse (204240003131), we get a palindrome (13334244243331).

The spelling of 13130004240200 in words is "thirteen trillion, one hundred thirty billion, four million, two hundred forty thousand, two hundred".