313144020 has 144 divisors (see below), whose sum is σ = 1120723968. Its totient is φ = 69258240.

The previous prime is 313143983. The next prime is 313144021. The reversal of 313144020 is 20441313.

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 = 313143984 and 313144002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313144021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35052 + ... + 43068.

Almost surely, 2^313144020 is an apocalyptic number.

313144020 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 313144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560361984).

313144020 is an abundant number, since it is smaller than the sum of its proper divisors (807579948).

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

313144020 is a wasteful number, since it uses less digits than its factorization.

313144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8070 (or 8065 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 313144020 is about 17695.8757907033. The cubic root of 313144020 is about 679.0702547391.

Adding to 313144020 its reverse (20441313), we get a palindrome (333585333).

The spelling of 313144020 in words is "three hundred thirteen million, one hundred forty-four thousand, twenty".