131010310033033 has 2 divisors, whose sum is σ = 131010310033034. Its totient is φ = 131010310033032.

The previous prime is 131010310032977. The next prime is 131010310033087. The reversal of 131010310033033 is 330330013010131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86472665668624 + 44537644364409 = 9299068^2 + 6673653^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131010310033033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131010310032995 and 131010310033013.

It is not a weakly prime, because it can be changed into another prime (131010310033093) 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 as a sum of consecutive naturals, namely, 65505155016516 + 65505155016517.

It is an arithmetic number, because the mean of its divisors is an integer number (65505155016517).

Almost surely, 2^{131010310033033} is an apocalyptic number.

It is an amenable number.

131010310033033 is a deficient number, since it is larger than the sum of its proper divisors (1).

131010310033033 is an equidigital number, since it uses as much as digits as its factorization.

131010310033033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 131010310033033 its reverse (330330013010131), we get a palindrome (461340323043164).

The spelling of 131010310033033 in words is "one hundred thirty-one trillion, ten billion, three hundred ten million, thirty-three thousand, thirty-three".