13050 has 36 divisors (see below), whose sum is σ = 36270. Its totient is φ = 3360.

The previous prime is 13049. The next prime is 13063. The reversal of 13050 is 5031.

13050 = T₁₉ + T₂₀ + ... + T₄₃.

13050 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 9801 + 3249 = 99^2 + 57^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

13050 is an undulating number in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 436 + ... + 464.

2¹³⁰⁵⁰ is an apocalyptic number.

13050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18135).

13050 is an abundant number, since it is smaller than the sum of its proper divisors (23220).

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

13050 is a wasteful number, since it uses less digits than its factorization.

13050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 13050 is about 114.2365965880. The cubic root of 13050 is about 23.5434536282.

Adding to 13050 its reverse (5031), we get a palindrome (18081).

The spelling of 13050 in words is "thirteen thousand, fifty".