100210440310013 has 32 divisors (see below), whose sum is σ = 118205372375040. Its totient is φ = 83958087159360.

The previous prime is 100210440309953. The next prime is 100210440310091. The reversal of 100210440310013 is 310013044012001.

It is a cyclic number.

It is not a de Polignac number, because 100210440310013 - 2³² = 100206145342717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210440310913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42330356 + ... + 44634962.

It is an arithmetic number, because the mean of its divisors is an integer number (3693917886720).

Almost surely, 2^{100210440310013} is an apocalyptic number.

It is an amenable number.

100210440310013 is a deficient number, since it is larger than the sum of its proper divisors (17994932065027).

100210440310013 is a wasteful number, since it uses less digits than its factorization.

100210440310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310297.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100210440310013 its reverse (310013044012001), we get a palindrome (410223484322014).

The spelling of 100210440310013 in words is "one hundred trillion, two hundred ten billion, four hundred forty million, three hundred ten thousand, thirteen".