10311041188561 has 9 divisors (see below), whose sum is σ = 10369544623081. Its totient is φ = 10252866034084.

The previous prime is 10311041188549. The next prime is 10311041188573. The reversal of 10311041188561 is 16588114011301.

The square root of 10311041188561 is 3211081.

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

It is an interprime number because it is at equal distance from previous prime (10311041188549) and next prime (10311041188573).

It is not a de Polignac number, because 10311041188561 - 2⁵ = 10311041188529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10311041188541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 574774530 + ... + 574792468.

Almost surely, 2^{10311041188561} is an apocalyptic number.

10311041188561 is the 3211081-st square number.

10311041188561 is the 1605541-st centered octagonal number.

It is an amenable number.

10311041188561 is a deficient number, since it is larger than the sum of its proper divisors (58503434520).

10311041188561 is an frugal number, since it uses more digits than its factorization.

10311041188561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36236 (or 18118 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 40.

Adding to 10311041188561 its reverse (16588114011301), we get a palindrome (26899155199862).

The spelling of 10311041188561 in words is "ten trillion, three hundred eleven billion, forty-one million, one hundred eighty-eight thousand, five hundred sixty-one".