1310442226314 has 256 divisors, whose sum is σ = 3070799424000. Its totient is φ = 369234837504.

The previous prime is 1310442226271. The next prime is 1310442226337. The reversal of 1310442226314 is 4136222440131.

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, 3754848612 + ... + 3754848960.

It is an arithmetic number, because the mean of its divisors is an integer number (11995310250).

Almost surely, 2^{1310442226314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310442226314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535399712000).

1310442226314 is an abundant number, since it is smaller than the sum of its proper divisors (1760357197686).

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

1310442226314 is a wasteful number, since it uses less digits than its factorization.

1310442226314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 1310442226314 its reverse (4136222440131), we get a palindrome (5446664666445).

The spelling of 1310442226314 in words is "one trillion, three hundred ten billion, four hundred forty-two million, two hundred twenty-six thousand, three hundred fourteen".