100113111311 has 2 divisors, whose sum is σ = 100113111312. Its totient is φ = 100113111310.

The previous prime is 100113111211. The next prime is 100113111331. The reversal of 100113111311 is 113111311001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100113111311 - 2²⁶ = 100046002447 is a prime.

It is a super-2 number, since 2×100113111311² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100113111331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056555655 + 50056555656.

It is an arithmetic number, because the mean of its divisors is an integer number (50056555656).

Almost surely, 2^100113111311 is an apocalyptic number.

100113111311 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113111311 is an equidigital number, since it uses as much as digits as its factorization.

100113111311 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100113111311 its reverse (113111311001), we get a palindrome (213224422312).

The spelling of 100113111311 in words is "one hundred billion, one hundred thirteen million, one hundred eleven thousand, three hundred eleven".