313313113200 has 60 divisors (see below), whose sum is σ = 1003646343128. Its totient is φ = 83550163200.

The previous prime is 313313113171. The next prime is 313313113229. The reversal of 313313113200 is 2311313313.

It is an interprime number because it is at equal distance from previous prime (313313113171) and next prime (313313113229).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×313313113200³ (a number of 35 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 130545931 + ... + 130548330.

Almost surely, 2^313313113200 is an apocalyptic number.

313313113200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313313113200 is an abundant number, since it is smaller than the sum of its proper divisors (690333229928).

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

313313113200 is a wasteful number, since it uses less digits than its factorization.

313313113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261094282 (or 261094271 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 313313113200 its reverse (2311313313), we get a palindrome (315624426513).

It can be divided in two parts, 313313113 and 200, that added together give a palindrome (313313313).

The spelling of 313313113200 in words is "three hundred thirteen billion, three hundred thirteen million, one hundred thirteen thousand, two hundred".