313311404112000 has 384 divisors, whose sum is σ = 1208199118538880. Its totient is φ = 71614034688000.

The previous prime is 313311404111977. The next prime is 313311404112011. The reversal of 313311404112000 is 211404113313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64253316 + ... + 68957315.

It is an arithmetic number, because the mean of its divisors is an integer number (3146351871195).

Almost surely, 2^{313311404112000} is an apocalyptic number.

313311404112000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313311404112000 is an abundant number, since it is smaller than the sum of its proper divisors (894887714426880).

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

313311404112000 is a wasteful number, since it uses less digits than its factorization.

313311404112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133210677 (or 133210648 counting only the distinct ones).

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

Adding to 313311404112000 its reverse (211404113313), we get a palindrome (313522808225313).

The spelling of 313311404112000 in words is "three hundred thirteen trillion, three hundred eleven billion, four hundred four million, one hundred twelve thousand".