20101220110013 has 12 divisors (see below), whose sum is σ = 23384315536092. Its totient is φ = 17228686184640.

The previous prime is 20101220109973. The next prime is 20101220110019. The reversal of 20101220110013 is 31001102210102.

It can be written as a sum of positive squares in 2 ways, for example, as 15286434385369 + 4814785724644 = 3909787^2 + 2194262^2 .

It is not a de Polignac number, because 20101220110013 - 2⁸ = 20101220109757 is a prime.

It is a super-2 number, since 2×20101220110013² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20101220110013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101220110019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10167170 + ... + 11982227.

It is an arithmetic number, because the mean of its divisors is an integer number (1948692961341).

Almost surely, 2^{20101220110013} is an apocalyptic number.

It is an amenable number.

20101220110013 is a deficient number, since it is larger than the sum of its proper divisors (3283095426079).

20101220110013 is a wasteful number, since it uses less digits than its factorization.

20101220110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22167932 (or 22167925 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 20101220110013 its reverse (31001102210102), we get a palindrome (51102322320115).

The spelling of 20101220110013 in words is "twenty trillion, one hundred one billion, two hundred twenty million, one hundred ten thousand, thirteen".