313311013002 has 96 divisors (see below), whose sum is σ = 751198226688. Its totient is φ = 93772867968.

The previous prime is 313311012907. The next prime is 313311013019. The reversal of 313311013002 is 200310113313.

It is a happy number.

313311013002 is a `hidden beast` number, since 31 + 331 + 1 + 0 + 1 + 300 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1705288 + ... + 1880060.

It is an arithmetic number, because the mean of its divisors is an integer number (7824981528).

Almost surely, 2^313311013002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313311013002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375599113344).

313311013002 is an abundant number, since it is smaller than the sum of its proper divisors (437887213686).

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

313311013002 is a wasteful number, since it uses less digits than its factorization.

313311013002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175004 (or 175001 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 313311013002 its reverse (200310113313), we get a palindrome (513621126315).

The spelling of 313311013002 in words is "three hundred thirteen billion, three hundred eleven million, thirteen thousand, two".