313213100000 has 288 divisors, whose sum is σ = 859127199840. Its totient is φ = 111697920000.

The previous prime is 313213099957. The next prime is 313213100009. The reversal of 313213100000 is 1312313.

It is a super-2 number, since 2×313213100000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313213100009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32295152 + ... + 32304848.

It is an arithmetic number, because the mean of its divisors is an integer number (2983080555).

Almost surely, 2^313213100000 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 313213100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429563599920).

313213100000 is an abundant number, since it is smaller than the sum of its proper divisors (545914099840).

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

313213100000 is an equidigital number, since it uses as much as digits as its factorization.

313213100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9768 (or 9740 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 313213100000 its reverse (1312313), we get a palindrome (313214412313).

The spelling of 313213100000 in words is "three hundred thirteen billion, two hundred thirteen million, one hundred thousand".