1313213424120 has 768 divisors, whose sum is σ = 4813071943680. Its totient is φ = 308477030400.

The previous prime is 1313213423971. The next prime is 1313213424161. The reversal of 1313213424120 is 214243123131.

1313213424120 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 213 + 424 + 1 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1358027877 + ... + 1358028843.

It is an arithmetic number, because the mean of its divisors is an integer number (6267020760).

Almost surely, 2^{1313213424120} is an apocalyptic number.

1313213424120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313213424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406535971840).

1313213424120 is an abundant number, since it is smaller than the sum of its proper divisors (3499858519560).

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

1313213424120 is a wasteful number, since it uses less digits than its factorization.

1313213424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1313213424120 its reverse (214243123131), we get a palindrome (1527456547251).

The spelling of 1313213424120 in words is "one trillion, three hundred thirteen billion, two hundred thirteen million, four hundred twenty-four thousand, one hundred twenty".