3133333313 has 16 divisors (see below), whose sum is σ = 3471759360. Its totient is φ = 2804053200.

The previous prime is 3133333297. The next prime is 3133333319.

3133333313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3133333313 - 2⁴ = 3133333297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3133333319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296348 + ... + 306738.

It is an arithmetic number, because the mean of its divisors is an integer number (216984960).

Almost surely, 2^3133333313 is an apocalyptic number.

It is an amenable number.

3133333313 is a deficient number, since it is larger than the sum of its proper divisors (338426047).

3133333313 is a wasteful number, since it uses less digits than its factorization.

3133333313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10828.

The product of its digits is 6561, while the sum is 26.

The square root of 3133333313 is about 55976.1852308640. The cubic root of 3133333313 is about 1463.3072759211.

It can be divided in two parts, 31333 and 33313, that added together give a palindrome (64646).

The spelling of 3133333313 in words is "three billion, one hundred thirty-three million, three hundred thirty-three thousand, three hundred thirteen".