20100303312300 has 216 divisors, whose sum is σ = 64679399628480. Its totient is φ = 5218048281600.

The previous prime is 20100303312281. The next prime is 20100303312389. The reversal of 20100303312300 is 321330300102.

20100303312300 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 30 + 331 + 2 + 300 = 666.

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

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, 16496446 + ... + 17672954.

Almost surely, 2^{20100303312300} is an apocalyptic number.

20100303312300 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 20100303312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32339699814240).

20100303312300 is an abundant number, since it is smaller than the sum of its proper divisors (44579096316180).

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

20100303312300 is a wasteful number, since it uses less digits than its factorization.

20100303312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177033 (or 1177023 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20100303312300 its reverse (321330300102), we get a palindrome (20421633612402).

The spelling of 20100303312300 in words is "twenty trillion, one hundred billion, three hundred three million, three hundred twelve thousand, three hundred".