10213033200000 has 384 divisors, whose sum is σ = 34697031747840. Its totient is φ = 2660125440000.

The previous prime is 10213033199947. The next prime is 10213033200061. The reversal of 10213033200000 is 233031201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 51501037 + ... + 51698963.

It is an arithmetic number, because the mean of its divisors is an integer number (90356853510).

Almost surely, 2^{10213033200000} is an apocalyptic number.

10213033200000 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 10213033200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17348515873920).

10213033200000 is an abundant number, since it is smaller than the sum of its proper divisors (24483998547840).

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

10213033200000 is an frugal number, since it uses more digits than its factorization.

10213033200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198012 (or 197980 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10213033200000 its reverse (233031201), we get a palindrome (10213266231201).

The spelling of 10213033200000 in words is "ten trillion, two hundred thirteen billion, thirty-three million, two hundred thousand".