131011101322201 has 8 divisors (see below), whose sum is σ = 133485664768704. Its totient is φ = 128536636241520.

The previous prime is 131011101322187. The next prime is 131011101322217. The reversal of 131011101322201 is 102223101110131.

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 131011101322201 - 2²⁷ = 131010967104473 is a prime.

It is a super-2 number, since 2×131011101322201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131011101322271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21899791 + ... + 27232756.

It is an arithmetic number, because the mean of its divisors is an integer number (16685708096088).

Almost surely, 2^{131011101322201} is an apocalyptic number.

It is an amenable number.

131011101322201 is a deficient number, since it is larger than the sum of its proper divisors (2474563446503).

131011101322201 is an equidigital number, since it uses as much as digits as its factorization.

131011101322201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49182911.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 131011101322201 its reverse (102223101110131), we get a palindrome (233234202432332).

The spelling of 131011101322201 in words is "one hundred thirty-one trillion, eleven billion, one hundred one million, three hundred twenty-two thousand, two hundred one".