100113000011 has 2 divisors, whose sum is σ = 100113000012. Its totient is φ = 100113000010.

The previous prime is 100112999993. The next prime is 100113000023. The reversal of 100113000011 is 110000311001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100113000011 - 2⁶ = 100112999947 is a prime.

It is a super-2 number, since 2×100113000011² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100113000061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056500005 + 50056500006.

It is an arithmetic number, because the mean of its divisors is an integer number (50056500006).

Almost surely, 2^100113000011 is an apocalyptic number.

100113000011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113000011 is an equidigital number, since it uses as much as digits as its factorization.

100113000011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100113000011 its reverse (110000311001), we get a palindrome (210113311012).

The spelling of 100113000011 in words is "one hundred billion, one hundred thirteen million, eleven", and thus it is an aban number.