313152212110400 has 84 divisors (see below), whose sum is σ = 829823251358052. Its totient is φ = 115625432156160.

The previous prime is 313152212110393. The next prime is 313152212110447. The reversal of 313152212110400 is 4011212251313.

It can be written as a sum of positive squares in 6 ways, for example, as 31125330264064 + 282026881846336 = 5579008^2 + 16793656^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 313152212110400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7527676607 + ... + 7527718206.

It is an arithmetic number, because the mean of its divisors is an integer number (9878848230453).

Almost surely, 2^{313152212110400} is an apocalyptic number.

It is an amenable number.

313152212110400 is an abundant number, since it is smaller than the sum of its proper divisors (516671039247652).

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

313152212110400 is a wasteful number, since it uses less digits than its factorization.

313152212110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15055394848 (or 15055394833 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 313152212110400 its reverse (4011212251313), we get a palindrome (317163424361713).

The spelling of 313152212110400 in words is "three hundred thirteen trillion, one hundred fifty-two billion, two hundred twelve million, one hundred ten thousand, four hundred".