1313213121100 has 108 divisors (see below), whose sum is σ = 2898508759608. Its totient is φ = 516424896000.

The previous prime is 1313213121049. The next prime is 1313213121113. The reversal of 1313213121100 is 11213123131.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150403735 + ... + 150412465.

Almost surely, 2^{1313213121100} is an apocalyptic number.

1313213121100 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 1313213121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449254379804).

1313213121100 is an abundant number, since it is smaller than the sum of its proper divisors (1585295638508).

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

1313213121100 is a wasteful number, since it uses less digits than its factorization.

1313213121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9144 (or 9058 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1313213121100 its reverse (11213123131), we get a palindrome (1324426244231).

The spelling of 1313213121100 in words is "one trillion, three hundred thirteen billion, two hundred thirteen million, one hundred twenty-one thousand, one hundred".