10000301311120 has 80 divisors (see below), whose sum is σ = 23513210772480. Its totient is φ = 3954962322432.

The previous prime is 10000301311037. The next prime is 10000301311123. The reversal of 10000301311120 is 2111310300001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10000301311120.

It is not an unprimeable number, because it can be changed into a prime (10000301311123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232852369 + ... + 232895311.

It is an arithmetic number, because the mean of its divisors is an integer number (293915134656).

Almost surely, 2^{10000301311120} is an apocalyptic number.

10000301311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000301311120 is an abundant number, since it is smaller than the sum of its proper divisors (13512909461360).

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

10000301311120 is a wasteful number, since it uses less digits than its factorization.

10000301311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75752 (or 75746 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10000301311120 its reverse (2111310300001), we get a palindrome (12111611611121).

The spelling of 10000301311120 in words is "ten trillion, three hundred one million, three hundred eleven thousand, one hundred twenty".