101330314013 has 2 divisors, whose sum is σ = 101330314014. Its totient is φ = 101330314012.

The previous prime is 101330313977. The next prime is 101330314039. The reversal of 101330314013 is 310413033101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101192063449 + 138250564 = 318107^2 + 11758^2 .

It is a cyclic number.

It is not a de Polignac number, because 101330314013 - 2¹² = 101330309917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101330311013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665157006 + 50665157007.

It is an arithmetic number, because the mean of its divisors is an integer number (50665157007).

Almost surely, 2^101330314013 is an apocalyptic number.

It is an amenable number.

101330314013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101330314013 is an equidigital number, since it uses as much as digits as its factorization.

101330314013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101330314013 its reverse (310413033101), we get a palindrome (411743347114).

The spelling of 101330314013 in words is "one hundred one billion, three hundred thirty million, three hundred fourteen thousand, thirteen".