13089648100 has 81 divisors (see below), whose sum is σ = 30218578257. Its totient is φ = 4920545280.

The previous prime is 13089648079. The next prime is 13089648119. The reversal of 13089648100 is 184698031.

The square root of 13089648100 is 114410.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6843591076 + 6246057024 = 82726^2 + 79032^2 .

It is a super-2 number, since 2×13089648100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19449364 + ... + 19450036.

Almost surely, 2^13089648100 is an apocalyptic number.

13089648100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13089648100 is the 114410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13089648100

13089648100 is an abundant number, since it is smaller than the sum of its proper divisors (17128930157).

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

13089648100 is an equidigital number, since it uses as much as digits as its factorization.

13089648100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 13089648100 in words is "thirteen billion, eighty-nine million, six hundred forty-eight thousand, one hundred".