20110101113 has 2 divisors, whose sum is σ = 20110101114. Its totient is φ = 20110101112.

The previous prime is 20110101103. The next prime is 20110101173. The reversal of 20110101113 is 31110101102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18336680569 + 1773420544 = 135413^2 + 42112^2 .

It is a cyclic number.

It is not a de Polignac number, because 20110101113 - 2¹⁰ = 20110100089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20110101094 and 20110101103.

It is not a weakly prime, because it can be changed into another prime (20110101103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10055050556 + 10055050557.

It is an arithmetic number, because the mean of its divisors is an integer number (10055050557).

Almost surely, 2^20110101113 is an apocalyptic number.

It is an amenable number.

20110101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

20110101113 is an equidigital number, since it uses as much as digits as its factorization.

20110101113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Subtracting from 20110101113 its sum of digits (11), we obtain a palindrome (20110101102).

Adding to 20110101113 its reverse (31110101102), we get a palindrome (51220202215).

The spelling of 20110101113 in words is "twenty billion, one hundred ten million, one hundred one thousand, one hundred thirteen".