1313424114240 has 672 divisors, whose sum is σ = 5215082158080. Its totient is φ = 278350442496.

The previous prime is 1313424114227. The next prime is 1313424114311. The reversal of 1313424114240 is 424114243131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1313424114198 and 1313424114207.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41991087 + ... + 42022353.

Almost surely, 2^{1313424114240} is an apocalyptic number.

1313424114240 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 1313424114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607541079040).

1313424114240 is an abundant number, since it is smaller than the sum of its proper divisors (3901658043840).

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

1313424114240 is a wasteful number, since it uses less digits than its factorization.

1313424114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31367 (or 31350 counting only the distinct ones).

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

Adding to 1313424114240 its reverse (424114243131), we get a palindrome (1737538357371).

The spelling of 1313424114240 in words is "one trillion, three hundred thirteen billion, four hundred twenty-four million, one hundred fourteen thousand, two hundred forty".