313221041442012 has 192 divisors, whose sum is σ = 824505567298560. Its totient is φ = 91731508377600.

The previous prime is 313221041442011. The next prime is 313221041442013. The reversal of 313221041442012 is 210244140122313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313221041442011) and next prime (313221041442013).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313221041442011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 560513098 + ... + 561071630.

It is an arithmetic number, because the mean of its divisors is an integer number (4294299829680).

Almost surely, 2^{313221041442012} 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 313221041442012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412252783649280).

313221041442012 is an abundant number, since it is smaller than the sum of its proper divisors (511284525856548).

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

313221041442012 is a wasteful number, since it uses less digits than its factorization.

313221041442012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559804 (or 559802 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 313221041442012 its reverse (210244140122313), we get a palindrome (523465181564325).

The spelling of 313221041442012 in words is "three hundred thirteen trillion, two hundred twenty-one billion, forty-one million, four hundred forty-two thousand, twelve".