1023305103000 has 512 divisors, whose sum is σ = 3658576896000. Its totient is φ = 264448627200.

The previous prime is 1023305102987. The next prime is 1023305103071. The reversal of 1023305103000 is 3015033201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130703086 + ... + 130710914.

It is an arithmetic number, because the mean of its divisors is an integer number (7145658000).

Almost surely, 2^{1023305103000} is an apocalyptic number.

1023305103000 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 1023305103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829288448000).

1023305103000 is an abundant number, since it is smaller than the sum of its proper divisors (2635271793000).

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

1023305103000 is a wasteful number, since it uses less digits than its factorization.

1023305103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8009 (or 7989 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The spelling of 1023305103000 in words is "one trillion, twenty-three billion, three hundred five million, one hundred three thousand".