131313232133113 has 2 divisors, whose sum is σ = 131313232133114. Its totient is φ = 131313232133112.

The previous prime is 131313232133077. The next prime is 131313232133141. The reversal of 131313232133113 is 311331232313131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118273716138384 + 13039515994729 = 10875372^2 + 3611027^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131313232133113 is a prime.

It is not a weakly prime, because it can be changed into another prime (131313232133513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65656616066556 + 65656616066557.

It is an arithmetic number, because the mean of its divisors is an integer number (65656616066557).

Almost surely, 2^{131313232133113} is an apocalyptic number.

It is an amenable number.

131313232133113 is a deficient number, since it is larger than the sum of its proper divisors (1).

131313232133113 is an equidigital number, since it uses as much as digits as its factorization.

131313232133113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8748, while the sum is 31.

Adding to 131313232133113 its reverse (311331232313131), we get a palindrome (442644464446244).

The spelling of 131313232133113 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred thirty-two million, one hundred thirty-three thousand, one hundred thirteen".