13130123100 has 216 divisors, whose sum is σ = 39619464192. Its totient is φ = 3355430400.

The previous prime is 13130123089. The next prime is 13130123159. The reversal of 13130123100 is 132103131.

It is a super-2 number, since 2×13130123100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13130123100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68744005 + ... + 68744195.

Almost surely, 2^13130123100 is an apocalyptic number.

13130123100 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 13130123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19809732096).

13130123100 is an abundant number, since it is smaller than the sum of its proper divisors (26489341092).

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

13130123100 is a wasteful number, since it uses less digits than its factorization.

13130123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13130123100 its reverse (132103131), we get a palindrome (13262226231).

The spelling of 13130123100 in words is "thirteen billion, one hundred thirty million, one hundred twenty-three thousand, one hundred".