10303213012000 has 96 divisors (see below), whose sum is σ = 25332503414400. Its totient is φ = 4118434732800.

The previous prime is 10303213011937. The next prime is 10303213012039. The reversal of 10303213012000 is 21031230301.

It is a super-2 number, since 2×10303213012000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 4897951 + ... + 6678049.

It is an arithmetic number, because the mean of its divisors is an integer number (263880243900).

Almost surely, 2^{10303213012000} is an apocalyptic number.

10303213012000 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 10303213012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12666251707200).

10303213012000 is an abundant number, since it is smaller than the sum of its proper divisors (15029290402400).

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

10303213012000 is a wasteful number, since it uses less digits than its factorization.

10303213012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781571 (or 1781553 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10303213012000 its reverse (21031230301), we get a palindrome (10324244242301).

The spelling of 10303213012000 in words is "ten trillion, three hundred three billion, two hundred thirteen million, twelve thousand".