1001303113200 has 120 divisors (see below), whose sum is σ = 3454239049968. Its totient is φ = 246474608640.

The previous prime is 1001303113189. The next prime is 1001303113229. The reversal of 1001303113200 is 23113031001.

1001303113200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1001303113200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32077449 + ... + 32108648.

Almost surely, 2^{1001303113200} is an apocalyptic number.

1001303113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001303113200 is an abundant number, since it is smaller than the sum of its proper divisors (2452935936768).

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

1001303113200 is a wasteful number, since it uses less digits than its factorization.

1001303113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64186131 (or 64186120 counting only the distinct ones).

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

Adding to 1001303113200 its reverse (23113031001), we get a palindrome (1024416144201).

The spelling of 1001303113200 in words is "one trillion, one billion, three hundred three million, one hundred thirteen thousand, two hundred".