312013104101320 has 128 divisors (see below), whose sum is σ = 775837557158400. Its totient is φ = 112328574324736.

The previous prime is 312013104101249. The next prime is 312013104101353. The reversal of 312013104101320 is 23101401310213.

It is a junction number, because it is equal to n+sod(n) for n = 312013104101291 and 312013104101300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60180126 + ... + 65158834.

It is an arithmetic number, because the mean of its divisors is an integer number (6061230915300).

Almost surely, 2^{312013104101320} 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 312013104101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387918778579200).

312013104101320 is an abundant number, since it is smaller than the sum of its proper divisors (463824453057080).

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

312013104101320 is a wasteful number, since it uses less digits than its factorization.

312013104101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982767 (or 4982763 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 312013104101320 its reverse (23101401310213), we get a palindrome (335114505411533).

The spelling of 312013104101320 in words is "three hundred twelve trillion, thirteen billion, one hundred four million, one hundred one thousand, three hundred twenty".