13312729032 has 64 divisors (see below), whose sum is σ = 34535669760. Its totient is φ = 4271899200.

The previous prime is 13312728977. The next prime is 13312729033. The reversal of 13312729032 is 23092721331.

It is a junction number, because it is equal to n+sod(n) for n = 13312728984 and 13312729002.

It is not an unprimeable number, because it can be changed into a prime (13312729033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95263 + ... + 188945.

It is an arithmetic number, because the mean of its divisors is an integer number (539619840).

Almost surely, 2^13312729032 is an apocalyptic number.

13312729032 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 13312729032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267834880).

13312729032 is an abundant number, since it is smaller than the sum of its proper divisors (21222940728).

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

13312729032 is a wasteful number, since it uses less digits than its factorization.

13312729032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93914 (or 93910 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The spelling of 13312729032 in words is "thirteen billion, three hundred twelve million, seven hundred twenty-nine thousand, thirty-two".