3813131313 has 12 divisors (see below), whose sum is σ = 5508426768. Its totient is φ = 2541824280.

The previous prime is 3813131293. The next prime is 3813131317. The reversal of 3813131313 is 3131313183.

3813131313 is a `hidden beast` number, since 38 + 1 + 313 + 1 + 313 = 666.

It is not a de Polignac number, because 3813131313 - 2⁵ = 3813131281 is a prime.

It is a super-2 number, since 2×3813131313² = 29079940820362207938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3813131317) 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, 114358 + ... + 143888.

It is an arithmetic number, because the mean of its divisors is an integer number (459035564).

Almost surely, 2^3813131313 is an apocalyptic number.

It is an amenable number.

3813131313 is a deficient number, since it is larger than the sum of its proper divisors (1695295455).

3813131313 is a wasteful number, since it uses less digits than its factorization.

3813131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43884 (or 43881 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 3813131313 is about 61750.5571877696. The cubic root of 3813131313 is about 1562.2861660056.

Adding to 3813131313 its reverse (3131313183), we get a palindrome (6944444496).

It can be divided in two parts, 38 and 13131313, that multiplied together give a palindrome (498989894).

The spelling of 3813131313 in words is "three billion, eight hundred thirteen million, one hundred thirty-one thousand, three hundred thirteen".