3131313131 has 16 divisors (see below), whose sum is σ = 3323744256. Its totient is φ = 2945160000.

The previous prime is 3131313121. The next prime is 3131313169. The reversal of 3131313131 is 1313131313.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3131313131 is a prime.

It is a super-2 number, since 2×3131313131² = 19610243848746046322, which contains 22 as substring.

It is a Duffinian number.

3131313131 is an undulating number in base 10.

3131313131 is a modest number, since divided by 313131 gives 3131 as remainder.

It is not an unprimeable number, because it can be changed into a prime (3131313121) 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, 339896 + ... + 348986.

It is an arithmetic number, because the mean of its divisors is an integer number (207734016).

Almost surely, 2^3131313131 is an apocalyptic number.

3131313131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3131313131 is a deficient number, since it is larger than the sum of its proper divisors (192431125).

3131313131 is a wasteful number, since it uses less digits than its factorization.

3131313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9434.

The product of its digits is 243, while the sum is 20.

The square root of 3131313131 is about 55958.1373081699. The cubic root of 3131313131 is about 1462.9927245828.

Adding to 3131313131 its reverse (1313131313), we get a palindrome (4444444444).

It can be divided in two parts, 31313 and 13131, that added together give a palindrome (44444).

The spelling of 3131313131 in words is "three billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred thirty-one".