131312131101 has 20 divisors (see below), whose sum is σ = 196168975200. Its totient is φ = 87536356776.

The previous prime is 131312131079. The next prime is 131312131121. The reversal of 131312131101 is 101131213131.

It is not a de Polignac number, because 131312131101 - 2⁶ = 131312131037 is a prime.

It is a super-2 number, since 2×131312131101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131312131121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1816120 + ... + 1887038.

It is an arithmetic number, because the mean of its divisors is an integer number (9808448760).

Almost surely, 2^131312131101 is an apocalyptic number.

It is an amenable number.

131312131101 is a deficient number, since it is larger than the sum of its proper divisors (64856844099).

131312131101 is an equidigital number, since it uses as much as digits as its factorization.

131312131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93790 (or 93781 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131312131101 its reverse (101131213131), we get a palindrome (232443344232).

The spelling of 131312131101 in words is "one hundred thirty-one billion, three hundred twelve million, one hundred thirty-one thousand, one hundred one".