13731752100 has 288 divisors, whose sum is σ = 45483088896. Its totient is φ = 3166169600.

The previous prime is 13731752087. The next prime is 13731752129. The reversal of 13731752100 is 125713731.

13731752100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13731752100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 17228902 + ... + 17229698.

It is an arithmetic number, because the mean of its divisors is an integer number (157927392).

Almost surely, 2^13731752100 is an apocalyptic number.

13731752100 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 13731752100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22741544448).

13731752100 is an abundant number, since it is smaller than the sum of its proper divisors (31751336796).

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

13731752100 is a wasteful number, since it uses less digits than its factorization.

13731752100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The spelling of 13731752100 in words is "thirteen billion, seven hundred thirty-one million, seven hundred fifty-two thousand, one hundred".