131210313 has 16 divisors (see below), whose sum is σ = 189247296. Its totient is φ = 80383680.

The previous prime is 131210309. The next prime is 131210357. The reversal of 131210313 is 313012131.

It is not a de Polignac number, because 131210313 - 2² = 131210309 is a prime.

It is a super-2 number, since 2×131210313² = 34432292475115938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131210292 and 131210301.

It is not an unprimeable number, because it can be changed into a prime (131210113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1443 + ... + 16263.

It is an arithmetic number, because the mean of its divisors is an integer number (11827956).

Almost surely, 2^131210313 is an apocalyptic number.

131210313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131210313 is a deficient number, since it is larger than the sum of its proper divisors (58036983).

131210313 is a wasteful number, since it uses less digits than its factorization.

131210313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15064.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 131210313 is about 11454.7070237523. The cubic root of 131210313 is about 508.1469507393.

Adding to 131210313 its reverse (313012131), we get a palindrome (444222444).

The spelling of 131210313 in words is "one hundred thirty-one million, two hundred ten thousand, three hundred thirteen".