201333123311320 has 384 divisors, whose sum is σ = 643752691776000. Its totient is φ = 54877273251840.

The previous prime is 201333123311291. The next prime is 201333123311321. The reversal of 201333123311320 is 23113321333102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201333123311321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288865 + ... + 20068624.

It is an arithmetic number, because the mean of its divisors is an integer number (1676439301500).

Almost surely, 2^{201333123311320} is an apocalyptic number.

201333123311320 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 201333123311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321876345888000).

201333123311320 is an abundant number, since it is smaller than the sum of its proper divisors (442419568464680).

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

201333123311320 is a wasteful number, since it uses less digits than its factorization.

201333123311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20357563 (or 20357546 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 201333123311320 its reverse (23113321333102), we get a palindrome (224446444644422).

The spelling of 201333123311320 in words is "two hundred one trillion, three hundred thirty-three billion, one hundred twenty-three million, three hundred eleven thousand, three hundred twenty".