27131321331 has 32 divisors (see below), whose sum is σ = 40485568320. Its totient is φ = 17956899072.

The previous prime is 27131321311. The next prime is 27131321333. The reversal of 27131321331 is 13312313172.

It is a happy number.

27131321331 is a `hidden beast` number, since 2 + 7 + 1 + 3 + 1 + 321 + 331 = 666.

It is not a de Polignac number, because 27131321331 - 2⁶ = 27131321267 is a prime.

It is a super-2 number, since 2×27131321331² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27131321295 and 27131321304.

It is not an unprimeable number, because it can be changed into a prime (27131321333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3532111 + ... + 3539783.

It is an arithmetic number, because the mean of its divisors is an integer number (1265174010).

Almost surely, 2^27131321331 is an apocalyptic number.

27131321331 is a deficient number, since it is larger than the sum of its proper divisors (13354246989).

27131321331 is a wasteful number, since it uses less digits than its factorization.

27131321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612 (or 8606 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The spelling of 27131321331 in words is "twenty-seven billion, one hundred thirty-one million, three hundred twenty-one thousand, three hundred thirty-one".