1013200768944 has 480 divisors, whose sum is σ = 3733377298560. Its totient is φ = 248901009408.

The previous prime is 1013200768829. The next prime is 1013200768999. The reversal of 1013200768944 is 4498670023101.

It is a self number, because there is not a number n which added to its sum of digits gives 1013200768944.

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, 21585052 + ... + 21631940.

It is an arithmetic number, because the mean of its divisors is an integer number (7777869372).

Almost surely, 2^{1013200768944} is an apocalyptic number.

1013200768944 is a gapful number since it is divisible by the number (14) 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 1013200768944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866688649280).

1013200768944 is an abundant number, since it is smaller than the sum of its proper divisors (2720176529616).

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

1013200768944 is a wasteful number, since it uses less digits than its factorization.

1013200768944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47037 (or 47028 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1013200768944 in words is "one trillion, thirteen billion, two hundred million, seven hundred sixty-eight thousand, nine hundred forty-four".