313303222100000 has 576 divisors, whose sum is σ = 899355117838464. Its totient is φ = 106164480000000.

The previous prime is 313303222099993. The next prime is 313303222100009. The reversal of 313303222100000 is 1222303313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (313303222100009) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1888617059 + ... + 1888782941.

It is an arithmetic number, because the mean of its divisors is an integer number (1561380412914).

Almost surely, 2^{313303222100000} 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 313303222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449677558919232).

313303222100000 is an abundant number, since it is smaller than the sum of its proper divisors (586051895738464).

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

313303222100000 is a wasteful number, since it uses less digits than its factorization.

313303222100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166047 (or 166019 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 313303222100000 its reverse (1222303313), we get a palindrome (313304444403313).

The spelling of 313303222100000 in words is "three hundred thirteen trillion, three hundred three billion, two hundred twenty-two million, one hundred thousand".