13090 has 32 divisors (see below), whose sum is σ = 31104. Its totient is φ = 3840.

The previous prime is 13063. The next prime is 13093. The reversal of 13090 is 9031.

It is a happy number.

13090 is an undulating number in base 13.

It is a nialpdrome in base 7, base 11 and base 16.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13090.

It is not an unprimeable number, because it can be changed into a prime (13093) by changing a digit.

13090 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762 + ... + 778.

It is an arithmetic number, because the mean of its divisors is an integer number (972).

2¹³⁰⁹⁰ is an apocalyptic number.

13090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13090 is an abundant number, since it is smaller than the sum of its proper divisors (18014).

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 (15552).

13090 is a wasteful number, since it uses less digits than its factorization.

13090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 13090 is about 114.4115378797. The cubic root of 13090 is about 23.5674837073.

The spelling of 13090 in words is "thirteen thousand, ninety".