13313512512 has 140 divisors (see below), whose sum is σ = 39570947020. Its totient is φ = 4425974784.

The previous prime is 13313512501. The next prime is 13313512523. The reversal of 13313512512 is 21521531331.

13313512512 is a `hidden beast` number, since 1 + 3 + 3 + 135 + 12 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (13313512501) and next prime (13313512523).

It can be written as a sum of positive squares in 2 ways, for example, as 4171093056 + 9142419456 = 64584^2 + 95616^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2054814 + ... + 2061282.

Almost surely, 2^13313512512 is an apocalyptic number.

13313512512 is a gapful number since it is divisible by the number (12) 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 13313512512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19785473510).

13313512512 is an abundant number, since it is smaller than the sum of its proper divisors (26257434508).

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

13313512512 is an equidigital number, since it uses as much as digits as its factorization.

13313512512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6871 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

It can be divided in two parts, 13313 and 512512, that added together give a triangular number (525825 = T₁₀₂₅).

The spelling of 13313512512 in words is "thirteen billion, three hundred thirteen million, five hundred twelve thousand, five hundred twelve".