130312110010001 has 2 divisors, whose sum is σ = 130312110010002. Its totient is φ = 130312110010000.

The previous prime is 130312110009959. The next prime is 130312110010037. The reversal of 130312110010001 is 100010011213031.

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., 129928423918225 + 383686091776 = 11398615^2 + 619424^2 .

It is a cyclic number.

It is not a de Polignac number, because 130312110010001 - 2⁶ = 130312110009937 is a prime.

It is not a weakly prime, because it can be changed into another prime (130312110010081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65156055005000 + 65156055005001.

It is an arithmetic number, because the mean of its divisors is an integer number (65156055005001).

Almost surely, 2^{130312110010001} is an apocalyptic number.

It is an amenable number.

130312110010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

130312110010001 is an equidigital number, since it uses as much as digits as its factorization.

130312110010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 130312110010001 its reverse (100010011213031), we get a palindrome (230322121223032).

The spelling of 130312110010001 in words is "one hundred thirty trillion, three hundred twelve billion, one hundred ten million, ten thousand, one".