201103213000 has 128 divisors (see below), whose sum is σ = 477301144320. Its totient is φ = 79299225600.

The previous prime is 201103212967. The next prime is 201103213013. The reversal of 201103213000 is 312301102.

201103213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25507059 + ... + 25514941.

It is an arithmetic number, because the mean of its divisors is an integer number (3728915190).

Almost surely, 2^201103213000 is an apocalyptic number.

201103213000 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 201103213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238650572160).

201103213000 is an abundant number, since it is smaller than the sum of its proper divisors (276197931320).

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

201103213000 is a wasteful number, since it uses less digits than its factorization.

201103213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8264 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 201103213000 its reverse (312301102), we get a palindrome (201415514102).

The spelling of 201103213000 in words is "two hundred one billion, one hundred three million, two hundred thirteen thousand".