13513401 has 18 divisors (see below), whose sum is σ = 21456890. Its totient is φ = 8189280.

The previous prime is 13513387. The next prime is 13513403. The reversal of 13513401 is 10431531.

It can be written as a sum of positive squares in only one way, i.e., 7868025 + 5645376 = 2805^2 + 2376^2 .

It is not a de Polignac number, because 13513401 - 2⁶ = 13513337 is a prime.

It is a super-2 number, since 2×13513401² = 365224013173602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13513403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5116 + ... + 7293.

Almost surely, 2^13513401 is an apocalyptic number.

13513401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13513401 is a deficient number, since it is larger than the sum of its proper divisors (7943489).

13513401 is a wasteful number, since it uses less digits than its factorization.

13513401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12437 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13513401 is about 3676.0578069448. The cubic root of 13513401 is about 238.1889197451.

Adding to 13513401 its reverse (10431531), we get a palindrome (23944932).

The spelling of 13513401 in words is "thirteen million, five hundred thirteen thousand, four hundred one".