1313402141304 has 128 divisors (see below), whose sum is σ = 3981355200000. Its totient is φ = 397865779200.

The previous prime is 1313402141273. The next prime is 1313402141309. The reversal of 1313402141304 is 4031412043131.

1313402141304 is a `hidden beast` number, since 1 + 3 + 1 + 340 + 2 + 14 + 1 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313402141309) 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, 7033464 + ... + 7217784.

It is an arithmetic number, because the mean of its divisors is an integer number (31104337500).

Almost surely, 2^{1313402141304} 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 1313402141304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990677600000).

1313402141304 is an abundant number, since it is smaller than the sum of its proper divisors (2667953058696).

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

1313402141304 is a wasteful number, since it uses less digits than its factorization.

1313402141304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187346 (or 187336 counting only the distinct ones).

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

Adding to 1313402141304 its reverse (4031412043131), we get a palindrome (5344814184435).

The spelling of 1313402141304 in words is "one trillion, three hundred thirteen billion, four hundred two million, one hundred forty-one thousand, three hundred four".