131311102122311 has 8 divisors (see below), whose sum is σ = 139035500042544. Its totient is φ = 123586728140160.

The previous prime is 131311102122293. The next prime is 131311102122313. The reversal of 131311102122311 is 113221201113131.

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 131311102122311 - 2²⁶ = 131311035013447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311102122313) 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, 5994116 + ... + 17278646.

It is an arithmetic number, because the mean of its divisors is an integer number (17379437505318).

Almost surely, 2^{131311102122311} is an apocalyptic number.

131311102122311 is a deficient number, since it is larger than the sum of its proper divisors (7724397920233).

131311102122311 is a wasteful number, since it uses less digits than its factorization.

131311102122311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11969041.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 131311102122311 its reverse (113221201113131), we get a palindrome (244532303235442).

The spelling of 131311102122311 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred two million, one hundred twenty-two thousand, three hundred eleven".