13050900 has 108 divisors (see below), whose sum is σ = 43364412. Its totient is φ = 3271680.

The previous prime is 13050893. The next prime is 13050923. The reversal of 13050900 is 905031.

It can be written as a sum of positive squares in 6 ways, for example, as 898704 + 12152196 = 948^2 + 3486^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14874 + ... + 15726.

Almost surely, 2^13050900 is an apocalyptic number.

13050900 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 13050900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21682206).

13050900 is an abundant number, since it is smaller than the sum of its proper divisors (30313512).

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

13050900 is a wasteful number, since it uses less digits than its factorization.

13050900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 13050900 is about 3612.6029397098. The cubic root of 13050900 is about 235.4399484462.

Adding to 13050900 its reverse (905031), we get a palindrome (13955931).

The spelling of 13050900 in words is "thirteen million, fifty thousand, nine hundred".