313141000 has 64 divisors (see below), whose sum is σ = 735396480. Its totient is φ = 124804800.

The previous prime is 313140943. The next prime is 313141039. The reversal of 313141000 is 141313.

313141000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486679 + ... + 487321.

It is an arithmetic number, because the mean of its divisors is an integer number (11490570).

Almost surely, 2^313141000 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 313141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367698240).

313141000 is an abundant number, since it is smaller than the sum of its proper divisors (422255480).

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

313141000 is a wasteful number, since it uses less digits than its factorization.

313141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 313141000 is about 17695.7904598806. The cubic root of 313141000 is about 679.0680717194.

Adding to 313141000 its reverse (141313), we get a palindrome (313282313).

The spelling of 313141000 in words is "three hundred thirteen million, one hundred forty-one thousand".