20122013102113 has 8 divisors (see below), whose sum is σ = 22255532163368. Its totient is φ = 18072161455104.

The previous prime is 20122013102089. The next prime is 20122013102123. The reversal of 20122013102113 is 31120131022102.

It can be written as a sum of positive squares in 4 ways, for example, as 42938885089 + 20079074217024 = 207217^2 + 4480968^2 .

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 20122013102113 - 2²¹ = 20122011004961 is a prime.

It is a super-2 number, since 2×20122013102113² (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 (20122013102123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20916853056 + ... + 20916854017.

It is an arithmetic number, because the mean of its divisors is an integer number (2781941520421).

Almost surely, 2^{20122013102113} is an apocalyptic number.

It is an amenable number.

20122013102113 is a deficient number, since it is larger than the sum of its proper divisors (2133519061255).

20122013102113 is a wasteful number, since it uses less digits than its factorization.

20122013102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41833707123.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 20122013102113 its reverse (31120131022102), we get a palindrome (51242144124215).

The spelling of 20122013102113 in words is "twenty trillion, one hundred twenty-two billion, thirteen million, one hundred two thousand, one hundred thirteen".