20332013100 has 288 divisors, whose sum is σ = 69790533120. Its totient is φ = 4471541760.

The previous prime is 20332013099. The next prime is 20332013123. The reversal of 20332013100 is 131023302.

It is a super-2 number, since 2×20332013100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20332013100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34286404 + ... + 34286996.

It is an arithmetic number, because the mean of its divisors is an integer number (242328240).

Almost surely, 2^20332013100 is an apocalyptic number.

20332013100 is a gapful number since it is divisible by the number (20) 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 20332013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34895266560).

20332013100 is an abundant number, since it is smaller than the sum of its proper divisors (49458520020).

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

20332013100 is a wasteful number, since it uses less digits than its factorization.

20332013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20332013100 its reverse (131023302), we get a palindrome (20463036402).

The spelling of 20332013100 in words is "twenty billion, three hundred thirty-two million, thirteen thousand, one hundred".