13130868100 has 81 divisors (see below), whose sum is σ = 33166323183. Its totient is φ = 4499261760.

The previous prime is 13130868089. The next prime is 13130868143. The reversal of 13130868100 is 186803131.

The square root of 13130868100 is 114590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6131203204 + 6999664896 = 78302^2 + 83664^2 .

It is a super-2 number, since 2×13130868100² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8020482 + ... + 8022118.

Almost surely, 2^13130868100 is an apocalyptic number.

13130868100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13130868100 is the 114590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130868100

13130868100 is an abundant number, since it is smaller than the sum of its proper divisors (20035455083).

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

13130868100 is an equidigital number, since it uses as much as digits as its factorization.

13130868100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 13130868100 in words is "thirteen billion, one hundred thirty million, eight hundred sixty-eight thousand, one hundred".