131023300033 has 2 divisors, whose sum is σ = 131023300034. Its totient is φ = 131023300032.

The previous prime is 131023300003. The next prime is 131023300039. The reversal of 131023300033 is 330003320131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128520099009 + 2503201024 = 358497^2 + 50032^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131023300033 is a prime.

It is not a weakly prime, because it can be changed into another prime (131023300039) by changing a digit.

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 as a sum of consecutive naturals, namely, 65511650016 + 65511650017.

It is an arithmetic number, because the mean of its divisors is an integer number (65511650017).

Almost surely, 2^131023300033 is an apocalyptic number.

It is an amenable number.

131023300033 is a deficient number, since it is larger than the sum of its proper divisors (1).

131023300033 is an equidigital number, since it uses as much as digits as its factorization.

131023300033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 131023300033 its reverse (330003320131), we get a palindrome (461026620164).

It can be divided in two parts, 131023 and 300033, that added together give a triangular number (431056 = T₉₂₈).

The spelling of 131023300033 in words is "one hundred thirty-one billion, twenty-three million, three hundred thousand, thirty-three".