100013212013 has 16 divisors (see below), whose sum is σ = 117526381056. Its totient is φ = 83906927040.

The previous prime is 100013212009. The next prime is 100013212043. The reversal of 100013212013 is 310212310001.

It is a cyclic number.

It is not a de Polignac number, because 100013212013 - 2² = 100013212009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013212043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525956 + ... + 690402.

It is an arithmetic number, because the mean of its divisors is an integer number (7345398816).

Almost surely, 2^100013212013 is an apocalyptic number.

100013212013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100013212013 is a deficient number, since it is larger than the sum of its proper divisors (17513169043).

100013212013 is a wasteful number, since it uses less digits than its factorization.

100013212013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168724.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100013212013 its reverse (310212310001), we get a palindrome (410225522014).

The spelling of 100013212013 in words is "one hundred billion, thirteen million, two hundred twelve thousand, thirteen".