100311111013 has 4 divisors (see below), whose sum is σ = 106211764620. Its totient is φ = 94410457408.

The previous prime is 100311110989. The next prime is 100311111031. The reversal of 100311111013 is 310111113001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310111113001 = 246611 ⋅1257491.

It can be written as a sum of positive squares in 2 ways, for example, as 43613310244 + 56697800769 = 208838^2 + 238113^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100311111013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100311110984 and 100311111002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100311141013) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2950326778 + ... + 2950326811.

It is an arithmetic number, because the mean of its divisors is an integer number (26552941155).

Almost surely, 2^100311111013 is an apocalyptic number.

It is an amenable number.

100311111013 is a deficient number, since it is larger than the sum of its proper divisors (5900653607).

100311111013 is an equidigital number, since it uses as much as digits as its factorization.

100311111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900653606.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 100311111013 its reverse (310111113001), we get a palindrome (410422224014).

It can be divided in two parts, 100 and 311111013, that added together give a palindrome (311111113).

The spelling of 100311111013 in words is "one hundred billion, three hundred eleven million, one hundred eleven thousand, thirteen".