210233010113000 has 256 divisors, whose sum is σ = 578830202496000. Its totient is φ = 69968448000000.

The previous prime is 210233010112981. The next prime is 210233010113011. The reversal of 210233010113000 is 311010332012.

It is a self number, because there is not a number n which added to its sum of digits gives 210233010113000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55272500 + ... + 58953500.

It is an arithmetic number, because the mean of its divisors is an integer number (2261055478500).

Almost surely, 2^{210233010113000} is an apocalyptic number.

210233010113000 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 210233010113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289415101248000).

210233010113000 is an abundant number, since it is smaller than the sum of its proper divisors (368597192383000).

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

210233010113000 is a wasteful number, since it uses less digits than its factorization.

210233010113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681269 (or 3681255 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 210233010113000 its reverse (311010332012), we get a palindrome (210544020445012).

The spelling of 210233010113000 in words is "two hundred ten trillion, two hundred thirty-three billion, ten million, one hundred thirteen thousand".