131101313101 has 16 divisors (see below), whose sum is σ = 144478494720. Its totient is φ = 117973258480.

The previous prime is 131101313089. The next prime is 131101313111. The reversal of 131101313101 is 101313101131.

It is not a de Polignac number, because 131101313101 - 2¹⁵ = 131101280333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101313111) 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 15 ways as a sum of consecutive naturals, for example, 289740 + ... + 588346.

It is an arithmetic number, because the mean of its divisors is an integer number (9029905920).

Almost surely, 2^131101313101 is an apocalyptic number.

131101313101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131101313101 is a deficient number, since it is larger than the sum of its proper divisors (13377181619).

131101313101 is a wasteful number, since it uses less digits than its factorization.

131101313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299024.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 131101313101 its reverse (101313101131), we get a palindrome (232414414232).

The spelling of 131101313101 in words is "one hundred thirty-one billion, one hundred one million, three hundred thirteen thousand, one hundred one".