11010311876041 has 27 divisors (see below), whose sum is σ = 12345258972501. Its totient is φ = 9816288390144.

The previous prime is 11010311875987. The next prime is 11010311876051. The reversal of 11010311876041 is 14067811301011.

The square root of 11010311876041 is 3318179.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 126090441 + 11010185785600 = 11229^2 + 3318160^2 .

It is not a de Polignac number, because 11010311876041 - 2¹¹ = 11010311873993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11010311875988 and 11010311876006.

It is not an unprimeable number, because it can be changed into a prime (11010311876051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1071766681 + ... + 1071776953.

Almost surely, 2^{11010311876041} is an apocalyptic number.

11010311876041 is the 3318179-th square number.

11010311876041 is the 1659090-th centered octagonal number.

It is an amenable number.

11010311876041 is a deficient number, since it is larger than the sum of its proper divisors (1334947096460).

11010311876041 is an frugal number, since it uses more digits than its factorization.

11010311876041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20618 (or 10309 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 34.

The spelling of 11010311876041 in words is "eleven trillion, ten billion, three hundred eleven million, eight hundred seventy-six thousand, forty-one".