131122211131101 has 8 divisors (see below), whose sum is σ = 176206225982464. Its totient is φ = 86726501850240.

The previous prime is 131122211131099. The next prime is 131122211131103. The reversal of 131122211131101 is 101131112221131.

It is an interprime number because it is at equal distance from previous prime (131122211131099) and next prime (131122211131103).

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

It is not a de Polignac number, because 131122211131101 - 2¹ = 131122211131099 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 (131122211131103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172076392180 + ... + 172076392941.

It is an arithmetic number, because the mean of its divisors is an integer number (22025778247808).

Almost surely, 2^{131122211131101} is an apocalyptic number.

It is an amenable number.

131122211131101 is a deficient number, since it is larger than the sum of its proper divisors (45084014851363).

131122211131101 is a wasteful number, since it uses less digits than its factorization.

131122211131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344152785251.

The product of its (nonzero) digits is 72, while the sum is 21.

Adding to 131122211131101 its reverse (101131112221131), we get a palindrome (232253323352232).

The spelling of 131122211131101 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred thirty-one thousand, one hundred one".