13293320 has 64 divisors (see below), whose sum is σ = 32134320. Its totient is φ = 4931584.

The previous prime is 13293311. The next prime is 13293341. The reversal of 13293320 is 2339231.

It can be written as a sum of positive squares in 8 ways, for example, as 6522916 + 6770404 = 2554^2 + 2602^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76754 + ... + 76926.

Almost surely, 2^13293320 is an apocalyptic number.

13293320 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 13293320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16067160).

13293320 is an abundant number, since it is smaller than the sum of its proper divisors (18841000).

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

13293320 is a wasteful number, since it uses less digits than its factorization.

13293320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 13293320 is about 3646.0005485463. Note that the first 3 decimals coincide. The cubic root of 13293320 is about 236.8887773562. Note that the first 3 decimals are identical.

The spelling of 13293320 in words is "thirteen million, two hundred ninety-three thousand, three hundred twenty".