11100100110013 has 2 divisors, whose sum is σ = 11100100110014. Its totient is φ = 11100100110012.

The previous prime is 11100100109951. The next prime is 11100100110023. The reversal of 11100100110013 is 31001100100111.

It is an a-pointer prime, because the next prime (11100100110023) can be obtained adding 11100100110013 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11043671532804 + 56428577209 = 3323202^2 + 237547^2 .

It is a cyclic number.

It is not a de Polignac number, because 11100100110013 - 2¹⁷ = 11100099978941 is a prime.

It is a super-2 number, since 2×11100100110013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11100100110023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550050055006 + 5550050055007.

It is an arithmetic number, because the mean of its divisors is an integer number (5550050055007).

Almost surely, 2^{11100100110013} is an apocalyptic number.

It is an amenable number.

11100100110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100100110013 is an equidigital number, since it uses as much as digits as its factorization.

11100100110013 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 10.

Adding to 11100100110013 its reverse (31001100100111), we get a palindrome (42101200210124).

The spelling of 11100100110013 in words is "eleven trillion, one hundred billion, one hundred million, one hundred ten thousand, thirteen".