1313627718144 has 320 divisors, whose sum is σ = 4032153354240. Its totient is φ = 372272332800.

The previous prime is 1313627718127. The next prime is 1313627718157. The reversal of 1313627718144 is 4418177263131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1313627718093 and 1313627718102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141291969 + ... + 1141293119.

It is an arithmetic number, because the mean of its divisors is an integer number (12600479232).

Almost surely, 2^{1313627718144} is an apocalyptic number.

1313627718144 is a gapful number since it is divisible by the number (14) 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 1313627718144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016076677120).

1313627718144 is an abundant number, since it is smaller than the sum of its proper divisors (2718525636096).

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

1313627718144 is a wasteful number, since it uses less digits than its factorization.

1313627718144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1935 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The spelling of 1313627718144 in words is "one trillion, three hundred thirteen billion, six hundred twenty-seven million, seven hundred eighteen thousand, one hundred forty-four".