313303002100 has 36 divisors (see below), whose sum is σ = 741673654848. Its totient is φ = 113928364000.

The previous prime is 313303002097. The next prime is 313303002109. The reversal of 313303002100 is 1200303313.

It is a super-2 number, since 2×313303002100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313303002109) 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 11 ways as a sum of consecutive naturals, for example, 142409356 + ... + 142411555.

It is an arithmetic number, because the mean of its divisors is an integer number (20602045968).

Almost surely, 2^313303002100 is an apocalyptic number.

It is an amenable number.

313303002100 is an abundant number, since it is smaller than the sum of its proper divisors (428370652748).

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

313303002100 is a wasteful number, since it uses less digits than its factorization.

313303002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284820936 (or 284820929 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 313303002100 its reverse (1200303313), we get a palindrome (314503305413).

The spelling of 313303002100 in words is "three hundred thirteen billion, three hundred three million, two thousand, one hundred".