313131420 has 240 divisors, whose sum is σ = 1146011328. Its totient is φ = 70087680.

The previous prime is 313131389. The next prime is 313131451. The reversal of 313131420 is 24131313.

It is an interprime number because it is at equal distance from previous prime (313131389) and next prime (313131451).

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

It is a junction number, because it is equal to n+sod(n) for n = 313131393 and 313131402.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 600760 + ... + 601280.

Almost surely, 2^313131420 is an apocalyptic number.

313131420 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 313131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573005664).

313131420 is an abundant number, since it is smaller than the sum of its proper divisors (832879908).

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

313131420 is a wasteful number, since it uses less digits than its factorization.

313131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 591 counting only the distinct ones).

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

The square root of 313131420 is about 17695.5197719649. The cubic root of 313131420 is about 679.0611466830.

Adding to 313131420 its reverse (24131313), we get a palindrome (337262733).

The spelling of 313131420 in words is "three hundred thirteen million, one hundred thirty-one thousand, four hundred twenty".