1313200021100 has 144 divisors (see below), whose sum is σ = 3126025754880. Its totient is φ = 474873235200.

The previous prime is 1313200021097. The next prime is 1313200021129. The reversal of 1313200021100 is 11200023131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166666961 + ... + 166674839.

Almost surely, 2^{1313200021100} is an apocalyptic number.

1313200021100 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 1313200021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563012877440).

1313200021100 is an abundant number, since it is smaller than the sum of its proper divisors (1812825733780).

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

1313200021100 is a wasteful number, since it uses less digits than its factorization.

1313200021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8728 (or 8721 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1313200021100 its reverse (11200023131), we get a palindrome (1324400044231).

The spelling of 1313200021100 in words is "one trillion, three hundred thirteen billion, two hundred million, twenty-one thousand, one hundred".