130133344131001 has 2 divisors, whose sum is σ = 130133344131002. Its totient is φ = 130133344131000.

The previous prime is 130133344130939. The next prime is 130133344131067. The reversal of 130133344131001 is 100131443331031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78545253355776 + 51588090775225 = 8862576^2 + 7182485^2 .

It is a cyclic number.

It is not a de Polignac number, because 130133344131001 - 2³⁵ = 130098984392633 is a prime.

It is not a weakly prime, because it can be changed into another prime (130133344191001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65066672065500 + 65066672065501.

It is an arithmetic number, because the mean of its divisors is an integer number (65066672065501).

Almost surely, 2^{130133344131001} is an apocalyptic number.

It is an amenable number.

130133344131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

130133344131001 is an equidigital number, since it uses as much as digits as its factorization.

130133344131001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 130133344131001 its reverse (100131443331031), we get a palindrome (230264787462032).

The spelling of 130133344131001 in words is "one hundred thirty trillion, one hundred thirty-three billion, three hundred forty-four million, one hundred thirty-one thousand, one".