13711068100 has 36 divisors (see below), whose sum is σ = 29819380500. Its totient is φ = 5472194560.

The previous prime is 13711068071. The next prime is 13711068101. The reversal of 13711068100 is 186011731.

13711068100 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 6 ways, for example, as 20196036 + 13690872064 = 4494^2 + 117008^2 .

It is a super-2 number, since 2×13711068100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13711068101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 107785 + ... + 197584.

It is an arithmetic number, because the mean of its divisors is an integer number (828316125).

Almost surely, 2^13711068100 is an apocalyptic number.

13711068100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13711068100 is an abundant number, since it is smaller than the sum of its proper divisors (16108312400).

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

13711068100 is a wasteful number, since it uses less digits than its factorization.

13711068100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305832 (or 305825 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

Adding to 13711068100 its reverse (186011731), we get a palindrome (13897079831).

The spelling of 13711068100 in words is "thirteen billion, seven hundred eleven million, sixty-eight thousand, one hundred".