131023121320253 has 2 divisors, whose sum is σ = 131023121320254. Its totient is φ = 131023121320252.

The previous prime is 131023121320241. The next prime is 131023121320271. The reversal of 131023121320253 is 352023121320131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109911467273689 + 21111654046564 = 10483867^2 + 4594742^2 .

It is an emirp because it is prime and its reverse (352023121320131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131023121320253 - 2³⁴ = 131005941451069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131023121320153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65511560660126 + 65511560660127.

It is an arithmetic number, because the mean of its divisors is an integer number (65511560660127).

Almost surely, 2^{131023121320253} is an apocalyptic number.

It is an amenable number.

131023121320253 is a deficient number, since it is larger than the sum of its proper divisors (1).

131023121320253 is an equidigital number, since it uses as much as digits as its factorization.

131023121320253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 131023121320253 its reverse (352023121320131), we get a palindrome (483046242640384).

The spelling of 131023121320253 in words is "one hundred thirty-one trillion, twenty-three billion, one hundred twenty-one million, three hundred twenty thousand, two hundred fifty-three".