20103133311000 has 320 divisors, whose sum is σ = 70280915664960. Its totient is φ = 5360126400000.

The previous prime is 20103133310987. The next prime is 20103133311017. The reversal of 20103133311000 is 11333130102.

It is a happy number.

20103133311000 is a `hidden beast` number, since 2 + 0 + 10 + 313 + 331 + 10 + 0 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 955870485 + ... + 955891515.

It is an arithmetic number, because the mean of its divisors is an integer number (219627861453).

Almost surely, 2^{20103133311000} is an apocalyptic number.

20103133311000 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 20103133311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35140457832480).

20103133311000 is an abundant number, since it is smaller than the sum of its proper divisors (50177782353960).

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

20103133311000 is a wasteful number, since it uses less digits than its factorization.

20103133311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32865 (or 32842 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 20103133311000 its reverse (11333130102), we get a palindrome (20114466441102).

The spelling of 20103133311000 in words is "twenty trillion, one hundred three billion, one hundred thirty-three million, three hundred eleven thousand".