20413125100 has 72 divisors (see below), whose sum is σ = 45497088000. Its totient is φ = 7944998400.

The previous prime is 20413125079. The next prime is 20413125113. The reversal of 20413125100 is 152131402.

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 23 ways as a sum of consecutive naturals, for example, 1588501 + ... + 1601299.

It is an arithmetic number, because the mean of its divisors is an integer number (631904000).

Almost surely, 2^20413125100 is an apocalyptic number.

20413125100 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 20413125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544000).

20413125100 is an abundant number, since it is smaller than the sum of its proper divisors (25083962900).

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

20413125100 is a wasteful number, since it uses less digits than its factorization.

20413125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13243 (or 13236 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 20413125100 its reverse (152131402), we get a palindrome (20565256502).

The spelling of 20413125100 in words is "twenty billion, four hundred thirteen million, one hundred twenty-five thousand, one hundred".