201101213313000 has 1536 divisors, whose sum is σ = 944105229849600. Its totient is φ = 37242713088000.

The previous prime is 201101213312963. The next prime is 201101213313089. The reversal of 201101213313000 is 313312101102.

201101213313000 is a `hidden beast` number, since 2 + 0 + 1 + 10 + 1 + 21 + 331 + 300 + 0 = 666.

201101213313000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 260876134 + ... + 261645866.

It is an arithmetic number, because the mean of its divisors is an integer number (614651842350).

Almost surely, 2^{201101213313000} is an apocalyptic number.

201101213313000 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 201101213313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472052614924800).

201101213313000 is an abundant number, since it is smaller than the sum of its proper divisors (743004016536600).

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

201101213313000 is a wasteful number, since it uses less digits than its factorization.

201101213313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769820 (or 769803 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 201101213313000 its reverse (313312101102), we get a palindrome (201414525414102).

The spelling of 201101213313000 in words is "two hundred one trillion, one hundred one billion, two hundred thirteen million, three hundred thirteen thousand".