13012032000 has 640 divisors, whose sum is σ = 48443256576. Its totient is φ = 3072000000.

The previous prime is 13012031987. The next prime is 13012032001. The reversal of 13012032000 is 23021031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012032001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128831950 + ... + 128832050.

Almost surely, 2^13012032000 is an apocalyptic number.

13012032000 is a gapful number since it is divisible by the number (10) 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 13012032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24221628288).

13012032000 is an abundant number, since it is smaller than the sum of its proper divisors (35431224576).

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

13012032000 is a wasteful number, since it uses less digits than its factorization.

13012032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13012032000 its reverse (23021031), we get a palindrome (13035053031).

The spelling of 13012032000 in words is "thirteen billion, twelve million, thirty-two thousand".