131001100041042 has 96 divisors (see below), whose sum is σ = 353878474060800. Its totient is φ = 34025743150560.

The previous prime is 131001100041001. The next prime is 131001100041121. The reversal of 131001100041042 is 240140001100131.

131001100041042 is a `hidden beast` number, since 1 + 3 + 100 + 110 + 0 + 0 + 410 + 42 = 666.

It is a super-2 number, since 2×131001100041042² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95232459 + ... + 96598257.

It is an arithmetic number, because the mean of its divisors is an integer number (3686234104800).

Almost surely, 2^{131001100041042} is an apocalyptic number.

131001100041042 is an abundant number, since it is smaller than the sum of its proper divisors (222877374019758).

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

131001100041042 is a wasteful number, since it uses less digits than its factorization.

131001100041042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435028 (or 1435025 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131001100041042 its reverse (240140001100131), we get a palindrome (371141101141173).

The spelling of 131001100041042 in words is "one hundred thirty-one trillion, one billion, one hundred million, forty-one thousand, forty-two".