131331113031313 has 16 divisors (see below), whose sum is σ = 143735592668416. Its totient is φ = 119260321488000.

The previous prime is 131331113031299. The next prime is 131331113031317. The reversal of 131331113031313 is 313130311133131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131331113031313 - 2²¹ = 131331110934161 is a prime.

It is a super-2 number, since 2×131331113031313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131331113031317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99733356 + ... + 101041597.

It is an arithmetic number, because the mean of its divisors is an integer number (8983474541776).

Almost surely, 2^{131331113031313} is an apocalyptic number.

131331113031313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131331113031313 is a deficient number, since it is larger than the sum of its proper divisors (12404479637103).

131331113031313 is a wasteful number, since it uses less digits than its factorization.

131331113031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200775784.

The product of its (nonzero) digits is 2187, while the sum is 28.

Adding to 131331113031313 its reverse (313130311133131), we get a palindrome (444461424164444).

The spelling of 131331113031313 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, one hundred thirteen million, thirty-one thousand, three hundred thirteen".