101311222033013 has 2 divisors, whose sum is σ = 101311222033014. Its totient is φ = 101311222033012.

The previous prime is 101311222033009. The next prime is 101311222033031. The reversal of 101311222033013 is 310330222113101.

Together with next prime (101311222033031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63114397024849 + 38196825008164 = 7944457^2 + 6180358^2 .

It is a cyclic number.

It is not a de Polignac number, because 101311222033013 - 2² = 101311222033009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101311222033013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101311222033003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50655611016506 + 50655611016507.

It is an arithmetic number, because the mean of its divisors is an integer number (50655611016507).

Almost surely, 2^{101311222033013} is an apocalyptic number.

It is an amenable number.

101311222033013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101311222033013 is an equidigital number, since it uses as much as digits as its factorization.

101311222033013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101311222033013 its reverse (310330222113101), we get a palindrome (411641444146114).

The spelling of 101311222033013 in words is "one hundred one trillion, three hundred eleven billion, two hundred twenty-two million, thirty-three thousand, thirteen".