100131005525 has 6 divisors (see below), whose sum is σ = 124162446882. Its totient is φ = 80104804400.

The previous prime is 100131005519. The next prime is 100131005539. The reversal of 100131005525 is 525500131001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 821567569 + 99309437956 = 28663^2 + 315134^2 .

It is not a de Polignac number, because 100131005525 - 2¹² = 100131001429 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100131005525.

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 5 ways as a sum of consecutive naturals, for example, 2002620086 + ... + 2002620135.

It is an arithmetic number, because the mean of its divisors is an integer number (20693741147).

Almost surely, 2^100131005525 is an apocalyptic number.

It is an amenable number.

100131005525 is a deficient number, since it is larger than the sum of its proper divisors (24031441357).

100131005525 is an equidigital number, since it uses as much as digits as its factorization.

100131005525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005240231 (or 4005240226 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 100131005525 its reverse (525500131001), we get a palindrome (625631136526).

The spelling of 100131005525 in words is "one hundred billion, one hundred thirty-one million, five thousand, five hundred twenty-five".