20311221311100 has 216 divisors, whose sum is σ = 64689228759792. Its totient is φ = 5329794816000.

The previous prime is 20311221311063. The next prime is 20311221311113. The reversal of 20311221311100 is 111312211302.

20311221311100 is a `hidden beast` number, since 2 + 0 + 31 + 1 + 221 + 311 + 100 = 666.

It is a super-2 number, since 2×20311221311100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14131284 + ... + 15502116.

Almost surely, 2^{20311221311100} is an apocalyptic number.

20311221311100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311221311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32344614379896).

20311221311100 is an abundant number, since it is smaller than the sum of its proper divisors (44378007448692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20311221311100 is a wasteful number, since it uses less digits than its factorization.

20311221311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371117 (or 1371107 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20311221311100 its reverse (111312211302), we get a palindrome (20422533522402).

The spelling of 20311221311100 in words is "twenty trillion, three hundred eleven billion, two hundred twenty-one million, three hundred eleven thousand, one hundred".