100520438213 has 4 divisors (see below), whose sum is σ = 108252779628. Its totient is φ = 92788096800.

The previous prime is 100520438209. The next prime is 100520438309. The reversal of 100520438213 is 312834025001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 312834025001 = 32069 ⋅9755029.

It can be written as a sum of positive squares in 2 ways, for example, as 19649591329 + 80870846884 = 140177^2 + 284378^2 .

It is a cyclic number.

It is not a de Polignac number, because 100520438213 - 2² = 100520438209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100520438713) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3866170688 + ... + 3866170713.

It is an arithmetic number, because the mean of its divisors is an integer number (27063194907).

Almost surely, 2^100520438213 is an apocalyptic number.

100520438213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100520438213 is a deficient number, since it is larger than the sum of its proper divisors (7732341415).

100520438213 is an equidigital number, since it uses as much as digits as its factorization.

100520438213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7732341414.

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 100520438213 in words is "one hundred billion, five hundred twenty million, four hundred thirty-eight thousand, two hundred thirteen".