21203313132330 has 960 divisors, whose sum is σ = 71885619020160. Its totient is φ = 4455692043264.

The previous prime is 21203313132299. The next prime is 21203313132361. The reversal of 21203313132330 is 3323131330212.

21203313132330 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 3 + 313 + 13 + 2 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (21203313132299) and next prime (21203313132361).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21203313132294 and 21203313132303.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14592781884 + ... + 14592783336.

It is an arithmetic number, because the mean of its divisors is an integer number (74880853146).

Almost surely, 2^{21203313132330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21203313132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35942809510080).

21203313132330 is an abundant number, since it is smaller than the sum of its proper divisors (50682305887830).

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

21203313132330 is a wasteful number, since it uses less digits than its factorization.

21203313132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 21203313132330 its reverse (3323131330212), we get a palindrome (24526444462542).

The spelling of 21203313132330 in words is "twenty-one trillion, two hundred three billion, three hundred thirteen million, one hundred thirty-two thousand, three hundred thirty".