313241020000 has 120 divisors (see below), whose sum is σ = 771872259312. Its totient is φ = 125092800000.

The previous prime is 313241019977. The next prime is 313241020003. The reversal of 313241020000 is 20142313.

It is a happy number.

It is a super-2 number, since 2×313241020000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313241020003) 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 19 ways as a sum of consecutive naturals, for example, 12607590 + ... + 12632410.

Almost surely, 2^313241020000 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 313241020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385936129656).

313241020000 is an abundant number, since it is smaller than the sum of its proper divisors (458631239312).

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

313241020000 is an equidigital number, since it uses as much as digits as its factorization.

313241020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25482 (or 25459 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 313241020000 its reverse (20142313), we get a palindrome (313261162313).

The spelling of 313241020000 in words is "three hundred thirteen billion, two hundred forty-one million, twenty thousand".