101330120311213 has 8 divisors (see below), whose sum is σ = 104824838489400. Its totient is φ = 97835440539648.

The previous prime is 101330120311183. The next prime is 101330120311279. The reversal of 101330120311213 is 312113021033101.

It can be written as a sum of positive squares in 4 ways, for example, as 64535547693604 + 36794572617609 = 8033402^2 + 6065853^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101330120311213 - 2⁵ = 101330120311181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330120311283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4182108 + ... + 14837461.

It is an arithmetic number, because the mean of its divisors is an integer number (13103104811175).

Almost surely, 2^{101330120311213} is an apocalyptic number.

It is an amenable number.

101330120311213 is a deficient number, since it is larger than the sum of its proper divisors (3494718178187).

101330120311213 is a wasteful number, since it uses less digits than its factorization.

101330120311213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19203311.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 101330120311213 its reverse (312113021033101), we get a palindrome (413443141344314).

The spelling of 101330120311213 in words is "one hundred one trillion, three hundred thirty billion, one hundred twenty million, three hundred eleven thousand, two hundred thirteen".