201323011041300 has 216 divisors, whose sum is σ = 609034769967456. Its totient is φ = 51342408705280.

The previous prime is 201323011041263. The next prime is 201323011041307. The reversal of 201323011041300 is 3140110323102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201323011041307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 873845722 + ... + 874076078.

It is an arithmetic number, because the mean of its divisors is an integer number (2819605416516).

Almost surely, 2^{201323011041300} is an apocalyptic number.

201323011041300 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 201323011041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304517384983728).

201323011041300 is an abundant number, since it is smaller than the sum of its proper divisors (407711758926156).

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

201323011041300 is a wasteful number, since it uses less digits than its factorization.

201323011041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235927 (or 235897 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 201323011041300 its reverse (3140110323102), we get a palindrome (204463121364402).

The spelling of 201323011041300 in words is "two hundred one trillion, three hundred twenty-three billion, eleven million, forty-one thousand, three hundred".