20311121103000 has 1024 divisors, whose sum is σ = 80257114828800. Its totient is φ = 4161565900800.

The previous prime is 20311121102999. The next prime is 20311121103023. The reversal of 20311121103000 is 30112111302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 6232315371 + ... + 6232318629.

It is an arithmetic number, because the mean of its divisors is an integer number (78376088700).

Almost surely, 2^{20311121103000} is an apocalyptic number.

20311121103000 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 20311121103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40128557414400).

20311121103000 is an abundant number, since it is smaller than the sum of its proper divisors (59945993725800).

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

20311121103000 is a wasteful number, since it uses less digits than its factorization.

20311121103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 20311121103000 its reverse (30112111302), we get a palindrome (20341233214302).

The spelling of 20311121103000 in words is "twenty trillion, three hundred eleven billion, one hundred twenty-one million, one hundred three thousand".