313013101104 has 240 divisors, whose sum is σ = 984633006240. Its totient is φ = 92014940160.

The previous prime is 313013101099. The next prime is 313013101109. The reversal of 313013101104 is 401101310313.

It is an interprime number because it is at equal distance from previous prime (313013101099) and next prime (313013101109).

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

It is not an unprimeable number, because it can be changed into a prime (313013101109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7450782 + ... + 7492674.

It is an arithmetic number, because the mean of its divisors is an integer number (4102637526).

Almost surely, 2^313013101104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313013101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492316503120).

313013101104 is an abundant number, since it is smaller than the sum of its proper divisors (671619905136).

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

313013101104 is a wasteful number, since it uses less digits than its factorization.

313013101104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42060 (or 42051 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313013101104 its reverse (401101310313), we get a palindrome (714114411417).

The spelling of 313013101104 in words is "three hundred thirteen billion, thirteen million, one hundred one thousand, one hundred four".