10213212031232 has 288 divisors, whose sum is σ = 24658551751680. Its totient is φ = 4124231147520.

The previous prime is 10213212031181. The next prime is 10213212031277. The reversal of 10213212031232 is 23213021231201.

It is a junction number, because it is equal to n+sod(n) for n = 10213212031198 and 10213212031207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6277326803 + ... + 6277328429.

It is an arithmetic number, because the mean of its divisors is an integer number (85619971360).

Almost surely, 2^{10213212031232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213212031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12329275875840).

10213212031232 is an abundant number, since it is smaller than the sum of its proper divisors (14445339720448).

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

10213212031232 is a wasteful number, since it uses less digits than its factorization.

10213212031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10213212031232 its reverse (23213021231201), we get a palindrome (33426233262433).

The spelling of 10213212031232 in words is "ten trillion, two hundred thirteen billion, two hundred twelve million, thirty-one thousand, two hundred thirty-two".