13035028032 has 280 divisors, whose sum is σ = 41967399936. Its totient is φ = 3976584192.

The previous prime is 13035028031. The next prime is 13035028049. The reversal of 13035028032 is 23082053031.

13035028032 is a `hidden beast` number, since 1 + 3 + 0 + 350 + 280 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13035027987 and 13035028005.

It is not an unprimeable number, because it can be changed into a prime (13035028031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8558023 + ... + 8559545.

Almost surely, 2^13035028032 is an apocalyptic number.

13035028032 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 13035028032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20983699968).

13035028032 is an abundant number, since it is smaller than the sum of its proper divisors (28932371904).

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

13035028032 is a wasteful number, since it uses less digits than its factorization.

13035028032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 13035028032 in words is "thirteen billion, thirty-five million, twenty-eight thousand, thirty-two".