131303203300033 has 24 divisors (see below), whose sum is σ = 133789247730600. Its totient is φ = 128847275900928.

The previous prime is 131303203300021. The next prime is 131303203300067. The reversal of 131303203300033 is 330003302303131.

It can be written as a sum of positive squares in 4 ways, for example, as 12586118526864 + 118717084773169 = 3547692^2 + 10895737^2 .

It is a de Polignac number, because none of the positive numbers 2^k-131303203300033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131303203299980 and 131303203300007.

It is not an unprimeable number, because it can be changed into a prime (131303203300333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1612842433 + ... + 1612923841.

It is an arithmetic number, because the mean of its divisors is an integer number (5574551988775).

Almost surely, 2^{131303203300033} is an apocalyptic number.

It is an amenable number.

131303203300033 is a deficient number, since it is larger than the sum of its proper divisors (2486044430567).

131303203300033 is an equidigital number, since it uses as much as digits as its factorization.

131303203300033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82289 (or 81982 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 131303203300033 its reverse (330003302303131), we get a palindrome (461306505603164).

The spelling of 131303203300033 in words is "one hundred thirty-one trillion, three hundred three billion, two hundred three million, three hundred thousand, thirty-three".