133221220210320 has 240 divisors, whose sum is σ = 453970430866176. Its totient is φ = 32294105395200.

The previous prime is 133221220210193. The next prime is 133221220210391. The reversal of 133221220210320 is 23012022122331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514256025 + ... + 514515015.

Almost surely, 2^{133221220210320} is an apocalyptic number.

133221220210320 is a gapful number since it is divisible by the number (10) 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 133221220210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226985215433088).

133221220210320 is an abundant number, since it is smaller than the sum of its proper divisors (320749210655856).

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

133221220210320 is a wasteful number, since it uses less digits than its factorization.

133221220210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276742 (or 276725 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133221220210320 its reverse (23012022122331), we get a palindrome (156233242332651).

The spelling of 133221220210320 in words is "one hundred thirty-three trillion, two hundred twenty-one billion, two hundred twenty million, two hundred ten thousand, three hundred twenty".