100113101010311 has 32 divisors (see below), whose sum is σ = 110272676971968. Its totient is φ = 90503884431360.

The previous prime is 100113101010283. The next prime is 100113101010337. The reversal of 100113101010311 is 113010101311001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100113101010311 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 (100113101010341) 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, 26574476 + ... + 30106958.

It is an arithmetic number, because the mean of its divisors is an integer number (3446021155374).

Almost surely, 2^{100113101010311} is an apocalyptic number.

100113101010311 is a deficient number, since it is larger than the sum of its proper divisors (10159575961657).

100113101010311 is a wasteful number, since it uses less digits than its factorization.

100113101010311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533171.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 100113101010311 its reverse (113010101311001), we get a palindrome (213123202321312).

The spelling of 100113101010311 in words is "one hundred trillion, one hundred thirteen billion, one hundred one million, ten thousand, three hundred eleven".