20713247100 has 1728 divisors, whose sum is σ = 95543884800. Its totient is φ = 3762339840.

The previous prime is 20713247089. The next prime is 20713247111. The reversal of 20713247100 is 174231702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20713247089) and next prime (20713247111).

It is a super-3 number, since 3×20713247100³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 714249886 + ... + 714249914.

It is an arithmetic number, because the mean of its divisors is an integer number (55291600).

Almost surely, 2^20713247100 is an apocalyptic number.

20713247100 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 20713247100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47771942400).

20713247100 is an abundant number, since it is smaller than the sum of its proper divisors (74830637700).

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

20713247100 is a wasteful number, since it uses less digits than its factorization.

20713247100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 20713247100 its reverse (174231702), we get a palindrome (20887478802).

The spelling of 20713247100 in words is "twenty billion, seven hundred thirteen million, two hundred forty-seven thousand, one hundred".