1303613103000 has 768 divisors, whose sum is σ = 4536473610240. Its totient is φ = 311380992000.

The previous prime is 1303613102983. The next prime is 1303613103029. The reversal of 1303613103000 is 3013163031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5409182880 + ... + 5409183120.

It is an arithmetic number, because the mean of its divisors is an integer number (5906866680).

Almost surely, 2^{1303613103000} is an apocalyptic number.

1303613103000 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 1303613103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268236805120).

1303613103000 is an abundant number, since it is smaller than the sum of its proper divisors (3232860507240).

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

1303613103000 is a wasteful number, since it uses less digits than its factorization.

1303613103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1303613103000 its reverse (3013163031), we get a palindrome (1306626266031).

The spelling of 1303613103000 in words is "one trillion, three hundred three billion, six hundred thirteen million, one hundred three thousand".