20011322331000 has 768 divisors, whose sum is σ = 90815060044800. Its totient is φ = 3838333824000.

The previous prime is 20011322330941. The next prime is 20011322331029. The reversal of 20011322331000 is 13322311002.

20011322331000 is a `hidden beast` number, since 2 + 0 + 0 + 11 + 322 + 331 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×20011322331000² (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 191 ways as a sum of consecutive naturals, for example, 7898371 + ... + 10119629.

It is an arithmetic number, because the mean of its divisors is an integer number (118248776100).

Almost surely, 2^{20011322331000} is an apocalyptic number.

20011322331000 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 20011322331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45407530022400).

20011322331000 is an abundant number, since it is smaller than the sum of its proper divisors (70803737713800).

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

20011322331000 is a wasteful number, since it uses less digits than its factorization.

20011322331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221317 (or 2221300 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20011322331000 its reverse (13322311002), we get a palindrome (20024644642002).

The spelling of 20011322331000 in words is "twenty trillion, eleven billion, three hundred twenty-two million, three hundred thirty-one thousand".