131131023333053 has 2 divisors, whose sum is σ = 131131023333054. Its totient is φ = 131131023333052.

The previous prime is 131131023332929. The next prime is 131131023333071. The reversal of 131131023333053 is 350333320131131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105309198148729 + 25821825184324 = 10262027^2 + 5081518^2 .

It is an emirp because it is prime and its reverse (350333320131131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131131023333053 - 2²⁰ = 131131022284477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131131023338053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65565511666526 + 65565511666527.

It is an arithmetic number, because the mean of its divisors is an integer number (65565511666527).

Almost surely, 2^{131131023333053} is an apocalyptic number.

It is an amenable number.

131131023333053 is a deficient number, since it is larger than the sum of its proper divisors (1).

131131023333053 is an equidigital number, since it uses as much as digits as its factorization.

131131023333053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21870, while the sum is 32.

Adding to 131131023333053 its reverse (350333320131131), we get a palindrome (481464343464184).

The spelling of 131131023333053 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, twenty-three million, three hundred thirty-three thousand, fifty-three".