313242143200 has 216 divisors, whose sum is σ = 892183490352. Its totient is φ = 107392696320.

The previous prime is 313242143189. The next prime is 313242143213. The reversal of 313242143200 is 2341242313.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 13433952 + ... + 13457248.

It is an arithmetic number, because the mean of its divisors is an integer number (4130479122).

Almost surely, 2^313242143200 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 313242143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446091745176).

313242143200 is an abundant number, since it is smaller than the sum of its proper divisors (578941347152).

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

313242143200 is an frugal number, since it uses more digits than its factorization.

313242143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23352 (or 23311 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 313242143200 its reverse (2341242313), we get a palindrome (315583385513).

The spelling of 313242143200 in words is "three hundred thirteen billion, two hundred forty-two million, one hundred forty-three thousand, two hundred".