10213001232000 has 512 divisors, whose sum is σ = 38924591247360. Its totient is φ = 2320409088000.

The previous prime is 10213001231999. The next prime is 10213001232011. The reversal of 10213001232000 is 23210031201.

10213001232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 56020995 + ... + 56203005.

It is an arithmetic number, because the mean of its divisors is an integer number (76024592280).

Almost surely, 2^{10213001232000} is an apocalyptic number.

10213001232000 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 10213001232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19462295623680).

10213001232000 is an abundant number, since it is smaller than the sum of its proper divisors (28711590015360).

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

10213001232000 is a wasteful number, since it uses less digits than its factorization.

10213001232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182217 (or 182195 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10213001232000 its reverse (23210031201), we get a palindrome (10236211263201).

The spelling of 10213001232000 in words is "ten trillion, two hundred thirteen billion, one million, two hundred thirty-two thousand".