313521140 has 48 divisors (see below), whose sum is σ = 707579712. Its totient is φ = 116261376.

The previous prime is 313521133. The next prime is 313521167. The reversal of 313521140 is 41125313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15899 + ... + 29661.

It is an arithmetic number, because the mean of its divisors is an integer number (14741244).

Almost surely, 2^313521140 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 313521140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353789856).

313521140 is an abundant number, since it is smaller than the sum of its proper divisors (394058572).

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

313521140 is a wasteful number, since it uses less digits than its factorization.

313521140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13856 (or 13854 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 313521140 is about 17706.5281746592. The cubic root of 313521140 is about 679.3427472913.

Adding to 313521140 its reverse (41125313), we get a palindrome (354646453).

The spelling of 313521140 in words is "three hundred thirteen million, five hundred twenty-one thousand, one hundred forty".