20331213002100 has 2592 divisors, whose sum is σ = 91942623462144. Its totient is φ = 3626178969600.

The previous prime is 20331213002083. The next prime is 20331213002101. The reversal of 20331213002100 is 120031213302.

20331213002100 is a `hidden beast` number, since 2 + 0 + 33 + 121 + 300 + 210 + 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 not an unprimeable number, because it can be changed into a prime (20331213002101) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 17633315124 + ... + 17633316276.

Almost surely, 2^{20331213002100} is an apocalyptic number.

20331213002100 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 20331213002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45971311731072).

20331213002100 is an abundant number, since it is smaller than the sum of its proper divisors (71611410460044).

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

20331213002100 is a wasteful number, since it uses less digits than its factorization.

20331213002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1254 counting only the distinct ones).

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

Adding to 20331213002100 its reverse (120031213302), we get a palindrome (20451244215402).

The spelling of 20331213002100 in words is "twenty trillion, three hundred thirty-one billion, two hundred thirteen million, two thousand, one hundred".