13158384100 has 27 divisors (see below), whose sum is σ = 28556182921. Its totient is φ = 5262894800.

The previous prime is 13158384097. The next prime is 13158384121. The reversal of 13158384100 is 148385131.

It is a happy number.

The square root of 13158384100 is 114710.

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., 4737018276 + 8421365824 = 68826^2 + 91768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1141365 + ... + 1152835.

Almost surely, 2^13158384100 is an apocalyptic number.

13158384100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13158384100 is the 114710-th square number.

It is an amenable number.

13158384100 is an abundant number, since it is smaller than the sum of its proper divisors (15397798821).

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

13158384100 is an frugal number, since it uses more digits than its factorization.

13158384100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22956 (or 11478 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 13158384100 in words is "thirteen billion, one hundred fifty-eight million, three hundred eighty-four thousand, one hundred".