131033131123033 has 2 divisors, whose sum is σ = 131033131123034. Its totient is φ = 131033131123032.

The previous prime is 131033131123021. The next prime is 131033131123043. The reversal of 131033131123033 is 330321131330131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66572593595209 + 64460537527824 = 8159203^2 + 8028732^2 .

It is a cyclic number.

It is not a de Polignac number, because 131033131123033 - 2²⁵ = 131033097568601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131033131122992 and 131033131123010.

It is not a weakly prime, because it can be changed into another prime (131033131123043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65516565561516 + 65516565561517.

It is an arithmetic number, because the mean of its divisors is an integer number (65516565561517).

Almost surely, 2^{131033131123033} is an apocalyptic number.

It is an amenable number.

131033131123033 is a deficient number, since it is larger than the sum of its proper divisors (1).

131033131123033 is an equidigital number, since it uses as much as digits as its factorization.

131033131123033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 131033131123033 its reverse (330321131330131), we get a palindrome (461354262453164).

The spelling of 131033131123033 in words is "one hundred thirty-one trillion, thirty-three billion, one hundred thirty-one million, one hundred twenty-three thousand, thirty-three".