201201323103000 has 1152 divisors, whose sum is σ = 758522258058240. Its totient is φ = 47704870080000.

The previous prime is 201201323102957. The next prime is 201201323103049. The reversal of 201201323103000 is 301323102102.

201201323103000 is a `hidden beast` number, since 2 + 0 + 1 + 20 + 1 + 32 + 310 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 72714607617 + ... + 72714610383.

It is an arithmetic number, because the mean of its divisors is an integer number (658439460120).

Almost surely, 2^{201201323103000} is an apocalyptic number.

201201323103000 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 201201323103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379261129029120).

201201323103000 is an abundant number, since it is smaller than the sum of its proper divisors (557320934955240).

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

201201323103000 is a wasteful number, since it uses less digits than its factorization.

201201323103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201201323103000 its reverse (301323102102), we get a palindrome (201502646205102).

The spelling of 201201323103000 in words is "two hundred one trillion, two hundred one billion, three hundred twenty-three million, one hundred three thousand".