13813010 has 32 divisors (see below), whose sum is σ = 26525232. Its totient is φ = 5160960.

The previous prime is 13812991. The next prime is 13813013. The reversal of 13813010 is 1031831.

13813010 = T₁₅ + T₁₆ + ... + T₄₃₅.

It can be written as a sum of positive squares in 8 ways, for example, as 1792921 + 12020089 = 1339^2 + 3467^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13813010.

It is not an unprimeable number, because it can be changed into a prime (13813013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32600 + ... + 33020.

Almost surely, 2^13813010 is an apocalyptic number.

13813010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13813010 is a deficient number, since it is larger than the sum of its proper divisors (12712222).

13813010 is a wasteful number, since it uses less digits than its factorization.

13813010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 13813010 is about 3716.5857988213. The cubic root of 13813010 is about 239.9363836018.

Adding to 13813010 its reverse (1031831), we get a palindrome (14844841).

The spelling of 13813010 in words is "thirteen million, eight hundred thirteen thousand, ten".