131431223312101 has 8 divisors (see below), whose sum is σ = 131498144720000. Its totient is φ = 131364303081120.

The previous prime is 131431223312047. The next prime is 131431223312107. The reversal of 131431223312101 is 101213322134131.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131431223312101 - 2³⁵ = 131396863573733 is a prime.

It is a super-2 number, since 2×131431223312101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131431223312101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131431223312107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301589281 + ... + 302024761.

It is an arithmetic number, because the mean of its divisors is an integer number (16437268090000).

Almost surely, 2^{131431223312101} is an apocalyptic number.

It is an amenable number.

131431223312101 is a deficient number, since it is larger than the sum of its proper divisors (66921407899).

131431223312101 is a wasteful number, since it uses less digits than its factorization.

131431223312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588459.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 131431223312101 its reverse (101213322134131), we get a palindrome (232644545446232).

The spelling of 131431223312101 in words is "one hundred thirty-one trillion, four hundred thirty-one billion, two hundred twenty-three million, three hundred twelve thousand, one hundred one".