131753322272583 has 48 divisors (see below), whose sum is σ = 219850454783232. Its totient is φ = 75144271776000.

The previous prime is 131753322272567. The next prime is 131753322272603. The reversal of 131753322272583 is 385272223357131.

131753322272583 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 5 + 3 + 32 + 2 + 27 + 2 + 583 = 666.

It is not a de Polignac number, because 131753322272583 - 2⁴ = 131753322272567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131753322272183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9097288 + ... + 18608258.

It is an arithmetic number, because the mean of its divisors is an integer number (4580217807984).

Almost surely, 2^{131753322272583} is an apocalyptic number.

131753322272583 is a deficient number, since it is larger than the sum of its proper divisors (88097132510649).

131753322272583 is a wasteful number, since it uses less digits than its factorization.

131753322272583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9519236 (or 9519233 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 131753322272583 in words is "one hundred thirty-one trillion, seven hundred fifty-three billion, three hundred twenty-two million, two hundred seventy-two thousand, five hundred eighty-three".