3131141013 has 192 divisors, whose sum is σ = 6384268800. Its totient is φ = 1456358400.

The previous prime is 3131141011. The next prime is 3131141017. The reversal of 3131141013 is 3101411313.

It is not a de Polignac number, because 3131141013 - 2¹ = 3131141011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131141011) 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 191 ways as a sum of consecutive naturals, for example, 18098995 + ... + 18099167.

It is an arithmetic number, because the mean of its divisors is an integer number (33251400).

Almost surely, 2^3131141013 is an apocalyptic number.

3131141013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3131141013 is an abundant number, since it is smaller than the sum of its proper divisors (3253127787).

3131141013 is a wasteful number, since it uses less digits than its factorization.

3131141013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 3131141013 is about 55956.5993695114. The cubic root of 3131141013 is about 1462.9659187897.

Adding to 3131141013 its reverse (3101411313), we get a palindrome (6232552326).

The spelling of 3131141013 in words is "three billion, one hundred thirty-one million, one hundred forty-one thousand, thirteen".