313213140 has 144 divisors (see below), whose sum is σ = 985944960. Its totient is φ = 80421120.

The previous prime is 313213091. The next prime is 313213169. The reversal of 313213140 is 41312313.

313213140 is a `hidden beast` number, since 31 + 321 + 314 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872281 + ... + 872639.

It is an arithmetic number, because the mean of its divisors is an integer number (6846840).

Almost surely, 2^313213140 is an apocalyptic number.

313213140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492972480).

313213140 is an abundant number, since it is smaller than the sum of its proper divisors (672731820).

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

313213140 is a wasteful number, since it uses less digits than its factorization.

313213140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 313213140 is about 17697.8286803777. The cubic root of 313213140 is about 679.1202145872.

Adding to 313213140 its reverse (41312313), we get a palindrome (354525453).

The spelling of 313213140 in words is "three hundred thirteen million, two hundred thirteen thousand, one hundred forty".