32320101013200 has 2880 divisors, whose sum is σ = 155498612785152. Its totient is φ = 5999140454400.

The previous prime is 32320101013171. The next prime is 32320101013201. The reversal of 32320101013200 is 231010102323.

32320101013200 is a `hidden beast` number, since 3 + 2 + 320 + 10 + 10 + 1 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32320101013201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 29733303057 + ... + 29733304143.

Almost surely, 2^{32320101013200} is an apocalyptic number.

32320101013200 is a gapful number since it is divisible by the number (30) 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 32320101013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77749306392576).

32320101013200 is an abundant number, since it is smaller than the sum of its proper divisors (123178511771952).

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

32320101013200 is a wasteful number, since it uses less digits than its factorization.

32320101013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32320101013200 its reverse (231010102323), we get a palindrome (32551111115523).

The spelling of 32320101013200 in words is "thirty-two trillion, three hundred twenty billion, one hundred one million, thirteen thousand, two hundred".