313212103000 has 128 divisors (see below), whose sum is σ = 737621277120. Its totient is φ = 124482969600.

The previous prime is 313212102991. The next prime is 313212103003. The reversal of 313212103000 is 301212313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313212103003) 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 31 ways as a sum of consecutive naturals, for example, 148229944 + ... + 148232056.

Almost surely, 2^313212103000 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 313212103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368810638560).

313212103000 is an abundant number, since it is smaller than the sum of its proper divisors (424409174120).

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

313212103000 is a wasteful number, since it uses less digits than its factorization.

313212103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 313212103000 its reverse (301212313), we get a palindrome (313513315313).

The spelling of 313212103000 in words is "three hundred thirteen billion, two hundred twelve million, one hundred three thousand".