131008362761 has 4 divisors (see below), whose sum is σ = 134203688724. Its totient is φ = 127813036800.

The previous prime is 131008362713. The next prime is 131008362763. The reversal of 131008362761 is 167263800131.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 57513152761 + 73495210000 = 239819^2 + 271100^2 .

It is a cyclic number.

It is not a de Polignac number, because 131008362761 - 2¹⁸ = 131008100617 is a prime.

It is a super-2 number, since 2×131008362761² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131008362763) 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 3 ways as a sum of consecutive naturals, for example, 1597662920 + ... + 1597663001.

It is an arithmetic number, because the mean of its divisors is an integer number (33550922181).

Almost surely, 2^131008362761 is an apocalyptic number.

It is an amenable number.

131008362761 is a deficient number, since it is larger than the sum of its proper divisors (3195325963).

131008362761 is an equidigital number, since it uses as much as digits as its factorization.

131008362761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195325962.

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 131008362761 in words is "one hundred thirty-one billion, eight million, three hundred sixty-two thousand, seven hundred sixty-one".