13305402 has 72 divisors (see below), whose sum is σ = 32678100. Its totient is φ = 3907200.

The previous prime is 13305389. The next prime is 13305421. The reversal of 13305402 is 20450331.

It can be written as a sum of positive squares in 2 ways, for example, as 10246401 + 3059001 = 3201^2 + 1749^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 89224 + ... + 89372.

Almost surely, 2^13305402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13305402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16339050).

13305402 is an abundant number, since it is smaller than the sum of its proper divisors (19372698).

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

13305402 is a wasteful number, since it uses less digits than its factorization.

13305402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13305402 is about 3647.6570562486. The cubic root of 13305402 is about 236.9605232544.

Adding to 13305402 its reverse (20450331), we get a palindrome (33755733).

Subtracting 13305402 from its reverse (20450331), we obtain a square (7144929 = 2673²).

The spelling of 13305402 in words is "thirteen million, three hundred five thousand, four hundred two".