131101312311 has 24 divisors (see below), whose sum is σ = 208002088320. Its totient is φ = 79200790416.

The previous prime is 131101312231. The next prime is 131101312313. The reversal of 131101312311 is 113213101131.

131101312311 is a `hidden beast` number, since 1 + 31 + 10 + 1 + 312 + 311 = 666.

It is not a de Polignac number, because 131101312311 - 2¹⁰ = 131101311287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101312313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16662901 + ... + 16670766.

It is an arithmetic number, because the mean of its divisors is an integer number (8666753680).

Almost surely, 2^131101312311 is an apocalyptic number.

131101312311 is a deficient number, since it is larger than the sum of its proper divisors (76900776009).

131101312311 is a wasteful number, since it uses less digits than its factorization.

131101312311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333715 (or 33333712 counting only the distinct ones).

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

Adding to 131101312311 its reverse (113213101131), we get a palindrome (244314413442).

The spelling of 131101312311 in words is "one hundred thirty-one billion, one hundred one million, three hundred twelve thousand, three hundred eleven".