13034032032 has 384 divisors, whose sum is σ = 41905188864. Its totient is φ = 3469713408.

The previous prime is 13034032019. The next prime is 13034032079. The reversal of 13034032032 is 23023043031.

It is a super-2 number, since 2×13034032032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78048013 + ... + 78048179.

It is an arithmetic number, because the mean of its divisors is an integer number (109128096).

Almost surely, 2^13034032032 is an apocalyptic number.

13034032032 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 13034032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20952594432).

13034032032 is an abundant number, since it is smaller than the sum of its proper divisors (28871156832).

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

13034032032 is a wasteful number, since it uses less digits than its factorization.

13034032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 13034032032 its reverse (23023043031), we get a palindrome (36057075063).

The spelling of 13034032032 in words is "thirteen billion, thirty-four million, thirty-two thousand, thirty-two".