313131540 has 48 divisors (see below), whose sum is σ = 877988160. Its totient is φ = 83385600.

The previous prime is 313131509. The next prime is 313131563. The reversal of 313131540 is 45131313.

It is a super-2 number, since 2×313131540² = 196102722685543200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45315 + ... + 51765.

It is an arithmetic number, because the mean of its divisors is an integer number (18291420).

Almost surely, 2^313131540 is an apocalyptic number.

313131540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313131540 is an abundant number, since it is smaller than the sum of its proper divisors (564856620).

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

313131540 is a wasteful number, since it uses less digits than its factorization.

313131540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7272 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 313131540 is about 17695.5231626533. The cubic root of 313131540 is about 679.0612334275.

Adding to 313131540 its reverse (45131313), we get a palindrome (358262853).

The spelling of 313131540 in words is "three hundred thirteen million, one hundred thirty-one thousand, five hundred forty".