313001020 has 48 divisors (see below), whose sum is σ = 692774208. Its totient is φ = 118553600.

The previous prime is 313000981. The next prime is 313001027. The reversal of 313001020 is 20100313.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 313000988 and 313001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313001027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43092 + ... + 49828.

It is an arithmetic number, because the mean of its divisors is an integer number (14432796).

Almost surely, 2^313001020 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 313001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346387104).

313001020 is an abundant number, since it is smaller than the sum of its proper divisors (379773188).

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

313001020 is a wasteful number, since it uses less digits than its factorization.

313001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6870 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 313001020 is about 17691.8348398350. The cubic root of 313001020 is about 678.9668711780.

Adding to 313001020 its reverse (20100313), we get a palindrome (333101333).

It can be divided in two parts, 31 and 3001020, that multiplied together give a triangular number (93031620 = T₁₃₆₄₀).

The spelling of 313001020 in words is "three hundred thirteen million, one thousand, twenty".