20130033132 has 288 divisors, whose sum is σ = 62185294080. Its totient is φ = 5411266560.

The previous prime is 20130033109. The next prime is 20130033139. The reversal of 20130033132 is 23133003102.

20130033132 is a `hidden beast` number, since 2 + 0 + 1 + 300 + 331 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20130033139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43104763 + ... + 43105229.

It is an arithmetic number, because the mean of its divisors is an integer number (215921160).

Almost surely, 2^20130033132 is an apocalyptic number.

20130033132 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 20130033132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31092647040).

20130033132 is an abundant number, since it is smaller than the sum of its proper divisors (42055260948).

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

20130033132 is a wasteful number, since it uses less digits than its factorization.

20130033132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20130033132 its reverse (23133003102), we get a palindrome (43263036234).

It can be divided in two parts, 201300 and 33132, that added together give a palindrome (234432).

The spelling of 20130033132 in words is "twenty billion, one hundred thirty million, thirty-three thousand, one hundred thirty-two".