131101330113 has 64 divisors (see below), whose sum is σ = 221837468160. Its totient is φ = 75904646400.

The previous prime is 131101330091. The next prime is 131101330123. The reversal of 131101330113 is 311033101131.

It is not a de Polignac number, because 131101330113 - 2¹² = 131101326017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131101330123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 359343 + ... + 625563.

It is an arithmetic number, because the mean of its divisors is an integer number (3466210440).

Almost surely, 2^131101330113 is an apocalyptic number.

131101330113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131101330113 is a deficient number, since it is larger than the sum of its proper divisors (90736138047).

131101330113 is a wasteful number, since it uses less digits than its factorization.

131101330113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266327 (or 266321 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 131101330113 its reverse (311033101131), we get a palindrome (442134431244).

The spelling of 131101330113 in words is "one hundred thirty-one billion, one hundred one million, three hundred thirty thousand, one hundred thirteen".