313313001101100 has 1728 divisors, whose sum is σ = 1379133937778688. Its totient is φ = 57348124416000.

The previous prime is 313313001101047. The next prime is 313313001101231. The reversal of 313313001101100 is 1101100313313.

313313001101100 is a `hidden beast` number, since 31 + 331 + 300 + 1 + 1 + 0 + 1 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8930604159 + ... + 8930639241.

It is an arithmetic number, because the mean of its divisors is an integer number (798109917696).

Almost surely, 2^{313313001101100} is an apocalyptic number.

313313001101100 is a gapful number since it is divisible by the number (30) 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 313313001101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689566968889344).

313313001101100 is an abundant number, since it is smaller than the sum of its proper divisors (1065820936677588).

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

313313001101100 is a wasteful number, since it uses less digits than its factorization.

313313001101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35588 (or 35578 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 313313001101100 its reverse (1101100313313), we get a palindrome (314414101414413).

The spelling of 313313001101100 in words is "three hundred thirteen trillion, three hundred thirteen billion, one million, one hundred one thousand, one hundred".