313301311010000 has 100 divisors (see below), whose sum is σ = 758595409242132. Its totient is φ = 125310346368000.

The previous prime is 313301311009991. The next prime is 313301311010029. The reversal of 313301311010000 is 10113103313.

It can be written as a sum of positive squares in 10 ways, for example, as 278309543142544 + 34991767867456 = 16682612^2 + 5915384^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×313301311010000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 122463932 + ... + 124996068.

Almost surely, 2^{313301311010000} 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 313301311010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379297704621066).

313301311010000 is an abundant number, since it is smaller than the sum of its proper divisors (445294098232132).

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

313301311010000 is a wasteful number, since it uses less digits than its factorization.

313301311010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544538 (or 2544517 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 313301311010000 its reverse (10113103313), we get a palindrome (313311424113313).

The spelling of 313301311010000 in words is "three hundred thirteen trillion, three hundred one billion, three hundred eleven million, ten thousand".