20101220220213 has 48 divisors (see below), whose sum is σ = 33052696410240. Its totient is φ = 11652568329600.

The previous prime is 20101220220209. The next prime is 20101220220223. The reversal of 20101220220213 is 31202202210102.

20101220220213 is a `hidden beast` number, since 2 + 0 + 10 + 1 + 220 + 220 + 213 = 666.

It is not a de Polignac number, because 20101220220213 - 2² = 20101220220209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101220220223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105240883 + ... + 105431711.

It is an arithmetic number, because the mean of its divisors is an integer number (688597841880).

Almost surely, 2^{20101220220213} is an apocalyptic number.

20101220220213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20101220220213 is a deficient number, since it is larger than the sum of its proper divisors (12951476190027).

20101220220213 is a wasteful number, since it uses less digits than its factorization.

20101220220213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237130 (or 237127 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20101220220213 its reverse (31202202210102), we get a palindrome (51303422430315).

The spelling of 20101220220213 in words is "twenty trillion, one hundred one billion, two hundred twenty million, two hundred twenty thousand, two hundred thirteen".