13857080700100 has 243 divisors, whose sum is σ = 33881578778061. Its totient is φ = 4915500004800.

The previous prime is 13857080700059. The next prime is 13857080700109. The reversal of 13857080700100 is 100708075831.

It is a happy number.

The square root of 13857080700100 is 3722510.

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

It can be written as a sum of positive squares in only one way, i.e., 4988549052036 + 8868531648064 = 2233506^2 + 2978008^2 .

It is a super-2 number, since 2×13857080700100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13857080700109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17607471907 + ... + 17607472693.

Almost surely, 2^{13857080700100} is an apocalyptic number.

13857080700100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13857080700100 is the 3722510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13857080700100

13857080700100 is an abundant number, since it is smaller than the sum of its proper divisors (20024498077961).

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

13857080700100 is an equidigital number, since it uses as much as digits as its factorization.

13857080700100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 40.

Adding to 13857080700100 its reverse (100708075831), we get a palindrome (13957788775931).

The spelling of 13857080700100 in words is "thirteen trillion, eight hundred fifty-seven billion, eighty million, seven hundred thousand, one hundred".