101330022022013 has 2 divisors, whose sum is σ = 101330022022014. Its totient is φ = 101330022022012.

The previous prime is 101330022021983. The next prime is 101330022022049. The reversal of 101330022022013 is 310220220033101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78775529811364 + 22554492210649 = 8875558^2 + 4749157^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101330022022013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101330022042013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665011011006 + 50665011011007.

It is an arithmetic number, because the mean of its divisors is an integer number (50665011011007).

Almost surely, 2^{101330022022013} is an apocalyptic number.

It is an amenable number.

101330022022013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101330022022013 is an equidigital number, since it uses as much as digits as its factorization.

101330022022013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 101330022022013 its reverse (310220220033101), we get a palindrome (411550242055114).

The spelling of 101330022022013 in words is "one hundred one trillion, three hundred thirty billion, twenty-two million, twenty-two thousand, thirteen".