1345312113536 has 32 divisors (see below), whose sum is σ = 2701217268480. Its totient is φ = 667359544320.

The previous prime is 1345312113521. The next prime is 1345312113539. The reversal of 1345312113536 is 6353112135431.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1345312113536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345312113539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41362685 + ... + 41395196.

It is an arithmetic number, because the mean of its divisors is an integer number (84413039640).

Almost surely, 2^{1345312113536} is an apocalyptic number.

1345312113536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1345312113536 is an abundant number, since it is smaller than the sum of its proper divisors (1355905154944).

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

1345312113536 is an equidigital number, since it uses as much as digits as its factorization.

1345312113536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82758022 (or 82758010 counting only the distinct ones).

The product of its digits is 97200, while the sum is 38.

Adding to 1345312113536 its reverse (6353112135431), we get a palindrome (7698424248967).

The spelling of 1345312113536 in words is "one trillion, three hundred forty-five billion, three hundred twelve million, one hundred thirteen thousand, five hundred thirty-six".