1313435385288 has 48 divisors (see below), whose sum is σ = 3830853209820. Its totient is φ = 404133964416.

The previous prime is 1313435385281. The next prime is 1313435385331. The reversal of 1313435385288 is 8825835343131.

1313435385288 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 353 + 8 + 5 + 288 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1129667128164 + 183768257124 = 1062858^2 + 428682^2 .

It is a super-2 number, since 2×1313435385288² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313435385281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 701620531 + ... + 701622402.

Almost surely, 2^{1313435385288} is an apocalyptic number.

1313435385288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1313435385288 is an abundant number, since it is smaller than the sum of its proper divisors (2517417824532).

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

1313435385288 is a wasteful number, since it uses less digits than its factorization.

1313435385288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403242958 (or 1403242951 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 1313435385288 in words is "one trillion, three hundred thirteen billion, four hundred thirty-five million, three hundred eighty-five thousand, two hundred eighty-eight".