10889131201 has 27 divisors (see below), whose sum is σ = 12361559049. Its totient is φ = 9586935072.

The previous prime is 10889131199. The next prime is 10889131223. The reversal of 10889131201 is 10213198801.

It is a happy number.

The square root of 10889131201 is 104351.

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 233937025 + 10655194176 = 15295^2 + 103224^2 .

It is not a de Polignac number, because 10889131201 - 2¹ = 10889131199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10889131291) 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, 31200775 + ... + 31201123.

Almost surely, 2^10889131201 is an apocalyptic number.

10889131201 is the 104351-st square number.

10889131201 is the 52176-th centered octagonal number.

It is an amenable number.

10889131201 is a deficient number, since it is larger than the sum of its proper divisors (1472427848).

10889131201 is an frugal number, since it uses more digits than its factorization.

10889131201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 34.

The spelling of 10889131201 in words is "ten billion, eight hundred eighty-nine million, one hundred thirty-one thousand, two hundred one".