10113111010181 has 2 divisors, whose sum is σ = 10113111010182. Its totient is φ = 10113111010180.

The previous prime is 10113111010157. The next prime is 10113111010207. The reversal of 10113111010181 is 18101011131101.

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., 8383862340100 + 1729248670081 = 2895490^2 + 1315009^2 .

It is a cyclic number.

It is not a de Polignac number, because 10113111010181 - 2⁴² = 5715064499077 is a prime.

It is a super-2 number, since 2×10113111010181² (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 (10113111010381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056555505090 + 5056555505091.

It is an arithmetic number, because the mean of its divisors is an integer number (5056555505091).

Almost surely, 2^{10113111010181} is an apocalyptic number.

It is an amenable number.

10113111010181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113111010181 is an equidigital number, since it uses as much as digits as its factorization.

10113111010181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 20.

Adding to 10113111010181 its reverse (18101011131101), we get a palindrome (28214122141282).

The spelling of 10113111010181 in words is "ten trillion, one hundred thirteen billion, one hundred eleven million, ten thousand, one hundred eighty-one".