1313041421424 has 160 divisors (see below), whose sum is σ = 3627584516160. Its totient is φ = 407818469376.

The previous prime is 1313041421423. The next prime is 1313041421449. The reversal of 1313041421424 is 4241241403131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1313041421391 and 1313041421400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313041421423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41682672 + ... + 41714160.

It is an arithmetic number, because the mean of its divisors is an integer number (22672403226).

Almost surely, 2^{1313041421424} 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 1313041421424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813792258080).

1313041421424 is an abundant number, since it is smaller than the sum of its proper divisors (2314543094736).

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

1313041421424 is a wasteful number, since it uses less digits than its factorization.

1313041421424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32027 (or 32021 counting only the distinct ones).

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

Adding to 1313041421424 its reverse (4241241403131), we get a palindrome (5554282824555).

The spelling of 1313041421424 in words is "one trillion, three hundred thirteen billion, forty-one million, four hundred twenty-one thousand, four hundred twenty-four".