131033232305 has 32 divisors (see below), whose sum is σ = 161358334368. Its totient is φ = 102120652800.

The previous prime is 131033232289. The next prime is 131033232329. The reversal of 131033232305 is 503232330131.

It can be written as a sum of positive squares in 16 ways, for example, as 17220787984 + 113812444321 = 131228^2 + 337361^2 .

It is not a de Polignac number, because 131033232305 - 2⁴ = 131033232289 is a prime.

It is a super-2 number, since 2×131033232305² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19150685 + ... + 19157525.

It is an arithmetic number, because the mean of its divisors is an integer number (5042447949).

Almost surely, 2^131033232305 is an apocalyptic number.

It is an amenable number.

131033232305 is a deficient number, since it is larger than the sum of its proper divisors (30325102063).

131033232305 is an equidigital number, since it uses as much as digits as its factorization.

131033232305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7557.

The product of its (nonzero) digits is 4860, while the sum is 26.

Adding to 131033232305 its reverse (503232330131), we get a palindrome (634265562436).

The spelling of 131033232305 in words is "one hundred thirty-one billion, thirty-three million, two hundred thirty-two thousand, three hundred five".