10233210213000 has 1152 divisors, whose sum is σ = 36974273001120. Its totient is φ = 2550528000000.

The previous prime is 10233210212969. The next prime is 10233210213007. The reversal of 10233210213000 is 31201233201.

10233210213000 is a `hidden beast` number, since 1 + 0 + 2 + 332 + 10 + 21 + 300 + 0 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 9872251976196 + 360958236804 = 3142014^2 + 600798^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10233210213007) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 56537072910 + ... + 56537073090.

Almost surely, 2^{10233210213000} is an apocalyptic number.

10233210213000 is a gapful number since it is divisible by the number (10) 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 10233210213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18487136500560).

10233210213000 is an abundant number, since it is smaller than the sum of its proper divisors (26741062788120).

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

10233210213000 is a wasteful number, since it uses less digits than its factorization.

10233210213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 370 counting only the distinct ones).

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

Adding to 10233210213000 its reverse (31201233201), we get a palindrome (10264411446201).

The spelling of 10233210213000 in words is "ten trillion, two hundred thirty-three billion, two hundred ten million, two hundred thirteen thousand".