211103013000 has 192 divisors, whose sum is σ = 723962453760. Its totient is φ = 51176400000.

The previous prime is 211103012993. The next prime is 211103013019. The reversal of 211103013000 is 310301112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72225 + ... + 653775.

It is an arithmetic number, because the mean of its divisors is an integer number (3770637780).

Almost surely, 2^211103013000 is an apocalyptic number.

211103013000 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 211103013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361981226880).

211103013000 is an abundant number, since it is smaller than the sum of its proper divisors (512859440760).

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

211103013000 is a wasteful number, since it uses less digits than its factorization.

211103013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581597 (or 581572 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 211103013000 its reverse (310301112), we get a palindrome (211413314112).

The spelling of 211103013000 in words is "two hundred eleven billion, one hundred three million, thirteen thousand".