1303013112000 has 448 divisors, whose sum is σ = 4565825971200. Its totient is φ = 326721331200.

The previous prime is 1303013111971. The next prime is 1303013112001. The reversal of 1303013112000 is 2113103031.

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

It is not an unprimeable number, because it can be changed into a prime (1303013112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32547996 + ... + 32588004.

Almost surely, 2^{1303013112000} is an apocalyptic number.

1303013112000 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 1303013112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282912985600).

1303013112000 is an abundant number, since it is smaller than the sum of its proper divisors (3262812859200).

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

1303013112000 is a wasteful number, since it uses less digits than its factorization.

1303013112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40121 (or 40101 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1303013112000 its reverse (2113103031), we get a palindrome (1305126215031).

The spelling of 1303013112000 in words is "one trillion, three hundred three billion, thirteen million, one hundred twelve thousand".