131331121122053 has 2 divisors, whose sum is σ = 131331121122054. Its totient is φ = 131331121122052.

The previous prime is 131331121121969. The next prime is 131331121122059. The reversal of 131331121122053 is 350221121133131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106257296701924 + 25073824420129 = 10308118^2 + 5007377^2 .

It is a cyclic number.

It is not a de Polignac number, because 131331121122053 - 2¹⁸ = 131331120859909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131331121122059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65665560561026 + 65665560561027.

It is an arithmetic number, because the mean of its divisors is an integer number (65665560561027).

Almost surely, 2^{131331121122053} is an apocalyptic number.

It is an amenable number.

131331121122053 is a deficient number, since it is larger than the sum of its proper divisors (1).

131331121122053 is an equidigital number, since it uses as much as digits as its factorization.

131331121122053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 29.

Adding to 131331121122053 its reverse (350221121133131), we get a palindrome (481552242255184).

The spelling of 131331121122053 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, fifty-three".