100011133011323 has 2 divisors, whose sum is σ = 100011133011324. Its totient is φ = 100011133011322.

The previous prime is 100011133011301. The next prime is 100011133011359. The reversal of 100011133011323 is 323110331110001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100011133011323 is a prime.

It is a super-2 number, since 2×100011133011323² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100011133011295 and 100011133011304.

It is not a weakly prime, because it can be changed into another prime (100011133014323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005566505661 + 50005566505662.

It is an arithmetic number, because the mean of its divisors is an integer number (50005566505662).

Almost surely, 2^{100011133011323} is an apocalyptic number.

100011133011323 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011133011323 is an equidigital number, since it uses as much as digits as its factorization.

100011133011323 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 100011133011323 its reverse (323110331110001), we get a palindrome (423121464121324).

The spelling of 100011133011323 in words is "one hundred trillion, eleven billion, one hundred thirty-three million, eleven thousand, three hundred twenty-three".