131001961827 has 16 divisors (see below), whose sum is σ = 192434929920. Its totient is φ = 78609036000.

The previous prime is 131001961819. The next prime is 131001961913. The reversal of 131001961827 is 728169100131.

It is not a de Polignac number, because 131001961827 - 2³ = 131001961819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131001941827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19648927 + ... + 19655592.

It is an arithmetic number, because the mean of its divisors is an integer number (12027183120).

Almost surely, 2^131001961827 is an apocalyptic number.

131001961827 is a deficient number, since it is larger than the sum of its proper divisors (61432968093).

131001961827 is a wasteful number, since it uses less digits than its factorization.

131001961827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39304634.

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 131001961827 in words is "one hundred thirty-one billion, one million, nine hundred sixty-one thousand, eight hundred twenty-seven".