10213120032000 has 144 divisors (see below), whose sum is σ = 33922878505152. Its totient is φ = 2723498649600.

The previous prime is 10213120031977. The next prime is 10213120032079. The reversal of 10213120032000 is 23002131201.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53097334 + ... + 53289333.

Almost surely, 2^{10213120032000} is an apocalyptic number.

10213120032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213120032000 is an abundant number, since it is smaller than the sum of its proper divisors (23709758473152).

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

10213120032000 is an equidigital number, since it uses as much as digits as its factorization.

10213120032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106386701 (or 106386677 counting only the distinct ones).

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

Adding to 10213120032000 its reverse (23002131201), we get a palindrome (10236122163201).

The spelling of 10213120032000 in words is "ten trillion, two hundred thirteen billion, one hundred twenty million, thirty-two thousand".