20130132023232 has 448 divisors, whose sum is σ = 67185295672320. Its totient is φ = 5167094169600.

The previous prime is 20130132023201. The next prime is 20130132023273. The reversal of 20130132023232 is 23232023103102.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3811800432 + ... + 3811805712.

It is an arithmetic number, because the mean of its divisors is an integer number (149967177840).

Almost surely, 2^{20130132023232} is an apocalyptic number.

20130132023232 is a gapful number since it is divisible by the number (22) 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 20130132023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33592647836160).

20130132023232 is an abundant number, since it is smaller than the sum of its proper divisors (47055163649088).

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

20130132023232 is a wasteful number, since it uses less digits than its factorization.

20130132023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20130132023232 its reverse (23232023103102), we get a palindrome (43362155126334).

The spelling of 20130132023232 in words is "twenty trillion, one hundred thirty billion, one hundred thirty-two million, twenty-three thousand, two hundred thirty-two".