313331010100000 has 144 divisors (see below), whose sum is σ = 771669432870336. Its totient is φ = 125229875680000.

The previous prime is 313331010099953. The next prime is 313331010100007. The reversal of 313331010100000 is 1010133313.

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

It is not an unprimeable number, because it can be changed into a prime (313331010100007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121019007 + ... + 123580993.

It is an arithmetic number, because the mean of its divisors is an integer number (5358815506044).

Almost surely, 2^{313331010100000} 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 313331010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385834716435168).

313331010100000 is an abundant number, since it is smaller than the sum of its proper divisors (458338422770336).

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

313331010100000 is an equidigital number, since it uses as much as digits as its factorization.

313331010100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563245 (or 2563217 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 313331010100000 its reverse (1010133313), we get a palindrome (313332020233313).

The spelling of 313331010100000 in words is "three hundred thirteen trillion, three hundred thirty-one billion, ten million, one hundred thousand".