13290 has 16 divisors (see below), whose sum is σ = 31968. Its totient is φ = 3536.

The previous prime is 13267. The next prime is 13291. The reversal of 13290 is 9231.

13290 = T₂₆ + T₂₇ + ... + T₄₅.

13290 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192 + ... + 251.

It is an arithmetic number, because the mean of its divisors is an integer number (1998).

2¹³²⁹⁰ is an apocalyptic number.

13290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13290 is an abundant number, since it is smaller than the sum of its proper divisors (18678).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15984).

13290 is a wasteful number, since it uses less digits than its factorization.

13290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 13290 is about 115.2822622956. The cubic root of 13290 is about 23.6869054763.

It can be divided in two parts, 132 and 90, that added together give a palindrome (222).

The spelling of 13290 in words is "thirteen thousand, two hundred ninety".