1003075601300 has 36 divisors (see below), whose sum is σ = 2291235851520. Its totient is φ = 380112858720.

The previous prime is 1003075601279. The next prime is 1003075601303. The reversal of 1003075601300 is 31065703001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1003075601300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003075601303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263965364 + ... + 263969163.

It is an arithmetic number, because the mean of its divisors is an integer number (63645440320).

Almost surely, 2^{1003075601300} is an apocalyptic number.

1003075601300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003075601300 is an abundant number, since it is smaller than the sum of its proper divisors (1288160250220).

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

1003075601300 is a wasteful number, since it uses less digits than its factorization.

1003075601300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527934560 (or 527934553 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The spelling of 1003075601300 in words is "one trillion, three billion, seventy-five million, six hundred one thousand, three hundred".