313331012202 has 128 divisors (see below), whose sum is σ = 686605248000. Its totient is φ = 95317168128.

The previous prime is 313331012179. The next prime is 313331012209. The reversal of 313331012202 is 202210133313.

It is not an unprimeable number, because it can be changed into a prime (313331012209) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 697841674 + ... + 697842122.

It is an arithmetic number, because the mean of its divisors is an integer number (5364103500).

Almost surely, 2^313331012202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313331012202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343302624000).

313331012202 is an abundant number, since it is smaller than the sum of its proper divisors (373274235798).

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

313331012202 is a wasteful number, since it uses less digits than its factorization.

313331012202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 313331012202 its reverse (202210133313), we get a palindrome (515541145515).

The spelling of 313331012202 in words is "three hundred thirteen billion, three hundred thirty-one million, twelve thousand, two hundred two".