20012131032300 has 864 divisors, whose sum is σ = 71106488893440. Its totient is φ = 4665715084800.

The previous prime is 20012131032287. The next prime is 20012131032337. The reversal of 20012131032300 is 323013121002.

20012131032300 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 21 + 310 + 32 + 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 287 ways as a sum of consecutive naturals, for example, 7514880769 + ... + 7514883431.

It is an arithmetic number, because the mean of its divisors is an integer number (82299176960).

Almost surely, 2^{20012131032300} is an apocalyptic number.

20012131032300 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 20012131032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35553244446720).

20012131032300 is an abundant number, since it is smaller than the sum of its proper divisors (51094357861140).

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

20012131032300 is a wasteful number, since it uses less digits than its factorization.

20012131032300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2993 counting only the distinct ones).

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

Adding to 20012131032300 its reverse (323013121002), we get a palindrome (20335144153302).

The spelling of 20012131032300 in words is "twenty trillion, twelve billion, one hundred thirty-one million, thirty-two thousand, three hundred".