13421313 has 12 divisors (see below), whose sum is σ = 20526948. Its totient is φ = 8421120.

The previous prime is 13421299. The next prime is 13421323. The reversal of 13421313 is 31312431.

13421313 = 692² + 693² + ... + 718².

It can be written as a sum of positive squares in 2 ways, for example, as 7354944 + 6066369 = 2712^2 + 2463^2 .

It is not a de Polignac number, because 13421313 - 2⁴ = 13421297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13421323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43708 + ... + 44013.

It is an arithmetic number, because the mean of its divisors is an integer number (1710579).

Almost surely, 2^13421313 is an apocalyptic number.

It is an amenable number.

13421313 is a deficient number, since it is larger than the sum of its proper divisors (7105635).

13421313 is a wasteful number, since it uses less digits than its factorization.

13421313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87744 (or 87741 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13421313 is about 3663.5110208651. The cubic root of 13421313 is about 237.6466344711.

Adding to 13421313 its reverse (31312431), we get a palindrome (44733744).

The spelling of 13421313 in words is "thirteen million, four hundred twenty-one thousand, three hundred thirteen".