312413343002020 has 48 divisors (see below), whose sum is σ = 706844540264688. Its totient is φ = 115302047662080.

The previous prime is 312413343002017. The next prime is 312413343002021. The reversal of 312413343002020 is 20200343314213.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5145538750884 + 307267804251136 = 2268378^2 + 17529056^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 312413343002020.

It is not an unprimeable number, because it can be changed into a prime (312413343002021) 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, 262797949 + ... + 263984068.

It is an arithmetic number, because the mean of its divisors is an integer number (14725927922181).

Almost surely, 2^{312413343002020} is an apocalyptic number.

It is an amenable number.

312413343002020 is an abundant number, since it is smaller than the sum of its proper divisors (394431197262668).

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

312413343002020 is a wasteful number, since it uses less digits than its factorization.

312413343002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526784320 (or 526784318 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 312413343002020 its reverse (20200343314213), we get a palindrome (332613686316233).

The spelling of 312413343002020 in words is "three hundred twelve trillion, four hundred thirteen billion, three hundred forty-three million, two thousand, twenty".