313075287420 has 384 divisors, whose sum is σ = 1081092096000. Its totient is φ = 67556966400.

The previous prime is 313075287401. The next prime is 313075287431. The reversal of 313075287420 is 24782570313.

It is a happy number.

It is a super-3 number, since 3×313075287420³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26151196 + ... + 26163164.

It is an arithmetic number, because the mean of its divisors is an integer number (2815344000).

Almost surely, 2^313075287420 is an apocalyptic number.

313075287420 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 313075287420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540546048000).

313075287420 is an abundant number, since it is smaller than the sum of its proper divisors (768016808580).

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

313075287420 is a wasteful number, since it uses less digits than its factorization.

313075287420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12074 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 313075287420 in words is "three hundred thirteen billion, seventy-five million, two hundred eighty-seven thousand, four hundred twenty".