13130320113100 has 144 divisors (see below), whose sum is σ = 29719382837760. Its totient is φ = 5031503769600.

The previous prime is 13130320113061. The next prime is 13130320113133. The reversal of 13130320113100 is 131102303131.

It is a super-2 number, since 2×13130320113100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58811481 + ... + 59034319.

It is an arithmetic number, because the mean of its divisors is an integer number (206384603040).

Almost surely, 2^{13130320113100} is an apocalyptic number.

13130320113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130320113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859691418880).

13130320113100 is an abundant number, since it is smaller than the sum of its proper divisors (16589062724660).

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

13130320113100 is a wasteful number, since it uses less digits than its factorization.

13130320113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223160 (or 223153 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13130320113100 its reverse (131102303131), we get a palindrome (13261422416231).

The spelling of 13130320113100 in words is "thirteen trillion, one hundred thirty billion, three hundred twenty million, one hundred thirteen thousand, one hundred".