10220120002313 has 8 divisors (see below), whose sum is σ = 11025626291400. Its totient is φ = 9417377029248.

The previous prime is 10220120002283. The next prime is 10220120002319. The reversal of 10220120002313 is 31320002102201.

It can be written as a sum of positive squares in 4 ways, for example, as 31594351504 + 10188525650809 = 177748^2 + 3191947^2 .

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 10220120002313 - 2²² = 10220115808009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10220120002291 and 10220120002300.

It is not an unprimeable number, because it can be changed into a prime (10220120002319) 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 in 7 ways as a sum of consecutive naturals, for example, 690821318 + ... + 690836111.

It is an arithmetic number, because the mean of its divisors is an integer number (1378203286425).

Almost surely, 2^{10220120002313} is an apocalyptic number.

10220120002313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10220120002313 is a deficient number, since it is larger than the sum of its proper divisors (805506289087).

10220120002313 is a wasteful number, since it uses less digits than its factorization.

10220120002313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381658011.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10220120002313 its reverse (31320002102201), we get a palindrome (41540122104514).

The spelling of 10220120002313 in words is "ten trillion, two hundred twenty billion, one hundred twenty million, two thousand, three hundred thirteen".