1013883469600 has 144 divisors (see below), whose sum is σ = 2487898779912. Its totient is φ = 403466485760.

The previous prime is 1013883469589. The next prime is 1013883469601. The reversal of 1013883469600 is 69643883101.

It can be written as a sum of positive squares in 12 ways, for example, as 19749136 + 1013863720464 = 4444^2 + 1006908^2 .

It is not an unprimeable number, because it can be changed into a prime (1013883469601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423686004 + ... + 423688396.

Almost surely, 2^{1013883469600} is an apocalyptic number.

1013883469600 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 1013883469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243949389956).

1013883469600 is an abundant number, since it is smaller than the sum of its proper divisors (1474015310312).

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

1013883469600 is a wasteful number, since it uses less digits than its factorization.

1013883469600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4919 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 1013883469600 in words is "one trillion, thirteen billion, eight hundred eighty-three million, four hundred sixty-nine thousand, six hundred".