1344343313313 has 96 divisors (see below), whose sum is σ = 2744433269760. Its totient is φ = 610711643520.

The previous prime is 1344343313309. The next prime is 1344343313329. The reversal of 1344343313313 is 3133133434431.

1344343313313 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 3 + 4 + 331 + 3 + 313 = 666.

It is not a de Polignac number, because 1344343313313 - 2² = 1344343313309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1344343313513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3755731 + ... + 4098072.

It is an arithmetic number, because the mean of its divisors is an integer number (28587846560).

Almost surely, 2^{1344343313313} is an apocalyptic number.

1344343313313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1344343313313 is an abundant number, since it is smaller than the sum of its proper divisors (1400089956447).

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

1344343313313 is a wasteful number, since it uses less digits than its factorization.

1344343313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7853859 (or 7853856 counting only the distinct ones).

The product of its digits is 139968, while the sum is 36.

Adding to 1344343313313 its reverse (3133133434431), we get a palindrome (4477476747744).

The spelling of 1344343313313 in words is "one trillion, three hundred forty-four billion, three hundred forty-three million, three hundred thirteen thousand, three hundred thirteen".