131782351850831 has 32 divisors (see below), whose sum is σ = 150964198156800. Its totient is φ = 113926023953280.

The previous prime is 131782351850819. The next prime is 131782351850843. The reversal of 131782351850831 is 138058153287131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131782351850819) and next prime (131782351850843).

It is not a de Polignac number, because 131782351850831 - 2¹⁸ = 131782351588687 is a prime.

It is a super-3 number, since 3×131782351850831³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131782351858831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131436110 + ... + 132434948.

It is an arithmetic number, because the mean of its divisors is an integer number (4717631192400).

Almost surely, 2^{131782351850831} is an apocalyptic number.

131782351850831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131782351850831 is a deficient number, since it is larger than the sum of its proper divisors (19181846305969).

131782351850831 is a wasteful number, since it uses less digits than its factorization.

131782351850831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005119.

The product of its (nonzero) digits is 4838400, while the sum is 56.

The spelling of 131782351850831 in words is "one hundred thirty-one trillion, seven hundred eighty-two billion, three hundred fifty-one million, eight hundred fifty thousand, eight hundred thirty-one".