10301122113313 has 8 divisors (see below), whose sum is σ = 10346225570280. Its totient is φ = 10256019703680.

The previous prime is 10301122113311. The next prime is 10301122113329. The reversal of 10301122113313 is 31331122110301.

It can be written as a sum of positive squares in 4 ways, for example, as 2359812124224 + 7941309989089 = 1536168^2 + 2818033^2 .

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 10301122113313 - 2¹ = 10301122113311 is a prime.

It is a super-2 number, since 2×10301122113313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10301122113311) 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, 24610803 + ... + 25025863.

It is an arithmetic number, because the mean of its divisors is an integer number (1293278196285).

Almost surely, 2^{10301122113313} is an apocalyptic number.

It is an amenable number.

10301122113313 is a deficient number, since it is larger than the sum of its proper divisors (45103456967).

10301122113313 is a wasteful number, since it uses less digits than its factorization.

10301122113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523667.

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

Adding to 10301122113313 its reverse (31331122110301), we get a palindrome (41632244223614).

The spelling of 10301122113313 in words is "ten trillion, three hundred one billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred thirteen".