13112540100 has 243 divisors, whose sum is σ = 45307181101. Its totient is φ = 3169636800.

The previous prime is 13112540083. The next prime is 13112540261. The reversal of 13112540100 is 104521131.

The square root of 13112540100 is 114510.

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

13112540100 is a `hidden beast` number, since 1 + 3 + 112 + 540 + 10 + 0 = 666.

13112540100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4720514436 + 8392025664 = 68706^2 + 91608^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37788127 + ... + 37788473.

Almost surely, 2^13112540100 is an apocalyptic number.

13112540100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13112540100 is the 114510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112540100

13112540100 is an abundant number, since it is smaller than the sum of its proper divisors (32194641001).

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

13112540100 is a wasteful number, since it uses less digits than its factorization.

13112540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 13112540100 in words is "thirteen billion, one hundred twelve million, five hundred forty thousand, one hundred".