131313031010113 has 16 divisors (see below), whose sum is σ = 144250460265600. Its totient is φ = 118979458519680.

The previous prime is 131313031010111. The next prime is 131313031010153. The reversal of 131313031010113 is 311010130313131.

It is a cyclic number.

It is not a de Polignac number, because 131313031010113 - 2¹ = 131313031010111 is a prime.

It is a super-2 number, since 2×131313031010113² (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 (131313031010111) 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, 13320598 + ... + 20977711.

It is an arithmetic number, because the mean of its divisors is an integer number (9015653766600).

Almost surely, 2^{131313031010113} is an apocalyptic number.

It is an amenable number.

131313031010113 is a deficient number, since it is larger than the sum of its proper divisors (12937429255487).

131313031010113 is a wasteful number, since it uses less digits than its factorization.

131313031010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34307112.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 131313031010113 its reverse (311010130313131), we get a palindrome (442323161323244).

The spelling of 131313031010113 in words is "one hundred thirty-one trillion, three hundred thirteen billion, thirty-one million, ten thousand, one hundred thirteen".