1003013133000 has 128 divisors (see below), whose sum is σ = 3145128480000. Its totient is φ = 266125939200.

The previous prime is 1003013132981. The next prime is 1003013133097. The reversal of 1003013133000 is 3313103001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243045 + ... + 1437044.

It is an arithmetic number, because the mean of its divisors is an integer number (24571316250).

Almost surely, 2^{1003013133000} is an apocalyptic number.

1003013133000 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 1003013133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572564240000).

1003013133000 is an abundant number, since it is smaller than the sum of its proper divisors (2142115347000).

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

1003013133000 is a wasteful number, since it uses less digits than its factorization.

1003013133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680312 (or 1680298 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 1003013133000 its reverse (3313103001), we get a palindrome (1006326236001).

Subtracting from 1003013133000 its reverse (3313103001), we obtain a cube (999700029999 = 9999³).

The spelling of 1003013133000 in words is "one trillion, three billion, thirteen million, one hundred thirty-three thousand".