131101322031018 has 96 divisors (see below), whose sum is σ = 284855251187520. Its totient is φ = 43577229346560.

The previous prime is 131101322030989. The next prime is 131101322031019. The reversal of 131101322031018 is 810130223101131.

131101322031018 is a `hidden beast` number, since 1 + 3 + 1 + 10 + 1 + 322 + 0 + 310 + 18 = 666.

It is a super-2 number, since 2×131101322031018² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131101322030982 and 131101322031000.

It is not an unprimeable number, because it can be changed into a prime (131101322031019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48004876713 + ... + 48004879443.

It is an arithmetic number, because the mean of its divisors is an integer number (2967242199870).

Almost surely, 2^{131101322031018} is an apocalyptic number.

131101322031018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131101322031018 is an abundant number, since it is smaller than the sum of its proper divisors (153753929156502).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131101322031018 is a wasteful number, since it uses less digits than its factorization.

131101322031018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7444 (or 7441 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 131101322031018 its reverse (810130223101131), we get a palindrome (941231545132149).

The spelling of 131101322031018 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred twenty-two million, thirty-one thousand, eighteen".