131011432301113 has 16 divisors (see below), whose sum is σ = 161245164747520. Its totient is φ = 103657188062016.

The previous prime is 131011432301033. The next prime is 131011432301137. The reversal of 131011432301113 is 311103234110131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131011432301113 is a prime.

It is a super-2 number, since 2×131011432301113² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131011432301513) 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, 56669668 + ... + 58936186.

It is an arithmetic number, because the mean of its divisors is an integer number (10077822796720).

Almost surely, 2^{131011432301113} is an apocalyptic number.

131011432301113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131011432301113 is a deficient number, since it is larger than the sum of its proper divisors (30233732446407).

131011432301113 is a wasteful number, since it uses less digits than its factorization.

131011432301113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901736.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 131011432301113 its reverse (311103234110131), we get a palindrome (442114666411244).

The spelling of 131011432301113 in words is "one hundred thirty-one trillion, eleven billion, four hundred thirty-two million, three hundred one thousand, one hundred thirteen".