1313112110100 has 288 divisors, whose sum is σ = 4360980879360. Its totient is φ = 298832509440.

The previous prime is 1313112110071. The next prime is 1313112110111. The reversal of 1313112110100 is 10112113131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1313112110100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 751637427 + ... + 751639173.

It is an arithmetic number, because the mean of its divisors is an integer number (15142294720).

Almost surely, 2^{1313112110100} is an apocalyptic number.

1313112110100 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 1313112110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180490439680).

1313112110100 is an abundant number, since it is smaller than the sum of its proper divisors (3047868769260).

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

1313112110100 is a wasteful number, since it uses less digits than its factorization.

1313112110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1313112110100 its reverse (10112113131), we get a palindrome (1323224223231).

The spelling of 1313112110100 in words is "one trillion, three hundred thirteen billion, one hundred twelve million, one hundred ten thousand, one hundred".