131310333000101 has 2 divisors, whose sum is σ = 131310333000102. Its totient is φ = 131310333000100.

The previous prime is 131310332999983. The next prime is 131310333000167. The reversal of 131310333000101 is 101000333013131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124852152723076 + 6458180277025 = 11173726^2 + 2541295^2 .

It is an emirp because it is prime and its reverse (101000333013131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131310333000101 - 2¹⁴ = 131310332983717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131310333009101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65655166500050 + 65655166500051.

It is an arithmetic number, because the mean of its divisors is an integer number (65655166500051).

Almost surely, 2^{131310333000101} is an apocalyptic number.

It is an amenable number.

131310333000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131310333000101 is an equidigital number, since it uses as much as digits as its factorization.

131310333000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 131310333000101 its reverse (101000333013131), we get a palindrome (232310666013232).

The spelling of 131310333000101 in words is "one hundred thirty-one trillion, three hundred ten billion, three hundred thirty-three million, one hundred one", and thus it is an aban number.