13131313 has 16 divisors (see below), whose sum is σ = 14582736. Its totient is φ = 11750400.

The previous prime is 13131281. The next prime is 13131317. The reversal of 13131313 is 31313131.

It can be written as a sum of positive squares in 8 ways, for example, as 400689 + 12730624 = 633^2 + 3568^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131313 - 2⁵ = 13131281 is a prime.

It is a super-2 number, since 2×13131313² = 344862762207938, which contains 22 as substring.

It is a deceptive number, since it divides R_13131312.

It is a Duffinian number.

13131313 is an undulating number in base 10.

13131313 is a modest number, since divided by 131313 gives 13 as remainder.

It is not an unprimeable number, because it can be changed into a prime (13131317) by changing a digit.

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, 95781 + ... + 95917.

It is an arithmetic number, because the mean of its divisors is an integer number (911421).

Almost surely, 2^13131313 is an apocalyptic number.

13131313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13131313 is a deficient number, since it is larger than the sum of its proper divisors (1451423).

13131313 is a wasteful number, since it uses less digits than its factorization.

13131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324.

The product of its digits is 81, while the sum is 16.

The square root of 13131313 is about 3623.7153585788. The cubic root of 13131313 is about 235.9225123851.

Adding to 13131313 its reverse (31313131), we get a palindrome (44444444).

It can be divided in two parts, 1313131 and 3, that multiplied together give a palindrome (3939393).

The spelling of 13131313 in words is "thirteen million, one hundred thirty-one thousand, three hundred thirteen".