313121014200312 has 128 divisors (see below), whose sum is σ = 824320951372800. Its totient is φ = 98924804768768.

The previous prime is 313121014200283. The next prime is 313121014200343. The reversal of 313121014200312 is 213002410121313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 23864764 + ... + 34579892.

It is an arithmetic number, because the mean of its divisors is an integer number (6440007432600).

Almost surely, 2^{313121014200312} 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 313121014200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412160475686400).

313121014200312 is an abundant number, since it is smaller than the sum of its proper divisors (511199937172488).

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

313121014200312 is a wasteful number, since it uses less digits than its factorization.

313121014200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10715645 (or 10715641 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 313121014200312 its reverse (213002410121313), we get a palindrome (526123424321625).

The spelling of 313121014200312 in words is "three hundred thirteen trillion, one hundred twenty-one billion, fourteen million, two hundred thousand, three hundred twelve".