1023313200000 has 768 divisors, whose sum is σ = 4181987335680. Its totient is φ = 215884800000.

The previous prime is 1023313199963. The next prime is 1023313200047. The reversal of 1023313200000 is 23133201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109195315 + ... + 109204685.

It is an arithmetic number, because the mean of its divisors is an integer number (5445296010).

Almost surely, 2^{1023313200000} is an apocalyptic number.

1023313200000 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 1023313200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090993667840).

1023313200000 is an abundant number, since it is smaller than the sum of its proper divisors (3158674135680).

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

1023313200000 is an frugal number, since it uses more digits than its factorization.

1023313200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9433 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1023313200000 its reverse (23133201), we get a palindrome (1023336333201).

The spelling of 1023313200000 in words is "one trillion, twenty-three billion, three hundred thirteen million, two hundred thousand".