202133200320030 has 192 divisors, whose sum is σ = 566225156851200. Its totient is φ = 46046167808256.

The previous prime is 202133200319923. The next prime is 202133200320047. The reversal of 202133200320030 is 30023002331202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202133200319979 and 202133200320006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5144235064 + ... + 5144274356.

It is an arithmetic number, because the mean of its divisors is an integer number (2949089358600).

Almost surely, 2^{202133200320030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202133200320030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283112578425600).

202133200320030 is an abundant number, since it is smaller than the sum of its proper divisors (364091956531170).

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

202133200320030 is a wasteful number, since it uses less digits than its factorization.

202133200320030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51023 (or 51016 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 202133200320030 its reverse (30023002331202), we get a palindrome (232156202651232).

The spelling of 202133200320030 in words is "two hundred two trillion, one hundred thirty-three billion, two hundred million, three hundred twenty thousand, thirty".