313113120144 has 80 divisors (see below), whose sum is σ = 934316182080. Its totient is φ = 89301422080.

The previous prime is 313113120101. The next prime is 313113120149. The reversal of 313113120144 is 441021311313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (313113120149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17432709 + ... + 17450660.

It is an arithmetic number, because the mean of its divisors is an integer number (11678952276).

Almost surely, 2^313113120144 is an apocalyptic number.

313113120144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

313113120144 is an abundant number, since it is smaller than the sum of its proper divisors (621203061936).

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

313113120144 is a wasteful number, since it uses less digits than its factorization.

313113120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34883408 (or 34883402 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 313113120144 its reverse (441021311313), we get a palindrome (754134431457).

The spelling of 313113120144 in words is "three hundred thirteen billion, one hundred thirteen million, one hundred twenty thousand, one hundred forty-four".