1314131282352 has 120 divisors (see below), whose sum is σ = 4358805907456. Its totient is φ = 375466072896.

The previous prime is 1314131282341. The next prime is 1314131282381. The reversal of 1314131282352 is 2532821314131.

1314131282352 is a `hidden beast` number, since 1 + 3 + 1 + 413 + 1 + 2 + 8 + 235 + 2 = 666.

It is a super-2 number, since 2×1314131282352² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24115408 + ... + 24169839.

Almost surely, 2^{1314131282352} is an apocalyptic number.

1314131282352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1314131282352 is an abundant number, since it is smaller than the sum of its proper divisors (3044674625104).

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

1314131282352 is an equidigital number, since it uses as much as digits as its factorization.

1314131282352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48285277 (or 48285259 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 1314131282352 its reverse (2532821314131), we get a palindrome (3846952596483).

The spelling of 1314131282352 in words is "one trillion, three hundred fourteen billion, one hundred thirty-one million, two hundred eighty-two thousand, three hundred fifty-two".