1011303001120 has 96 divisors (see below), whose sum is σ = 2474405100720. Its totient is φ = 390127288320.

The previous prime is 1011303001067. The next prime is 1011303001187. The reversal of 1011303001120 is 211003031101.

1011303001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 515794003344 + 495508997776 = 718188^2 + 703924^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1011303001120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3964144 + ... + 4211536.

Almost surely, 2^{1011303001120} is an apocalyptic number.

1011303001120 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 1011303001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237202550360).

1011303001120 is an abundant number, since it is smaller than the sum of its proper divisors (1463102099600).

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

1011303001120 is a wasteful number, since it uses less digits than its factorization.

1011303001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248318 (or 248310 counting only the distinct ones).

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

Adding to 1011303001120 its reverse (211003031101), we get a palindrome (1222306032221).

The spelling of 1011303001120 in words is "one trillion, eleven billion, three hundred three million, one thousand, one hundred twenty".