10330689511321 has 9 divisors (see below), whose sum is σ = 10974181503999. Its totient is φ = 9722950466784.

The previous prime is 10330689511309. The next prime is 10330689511333. The reversal of 10330689511321 is 12311598603301.

The square root of 10330689511321 is 3214139.

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 (10330689511309) and next prime (10330689511333).

It can be written as a sum of positive squares in only one way, i.e., 8042924360025 + 2287765151296 = 2836005^2 + 1512536^2 .

It is not a de Polignac number, because 10330689511321 - 2¹³ = 10330689503129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10330689511391) 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, 54545830 + ... + 54734896.

Almost surely, 2^{10330689511321} is an apocalyptic number.

10330689511321 is the 3214139-th square number.

10330689511321 is the 1607070-th centered octagonal number.

It is an amenable number.

10330689511321 is a deficient number, since it is larger than the sum of its proper divisors (643491992678).

10330689511321 is an frugal number, since it uses more digits than its factorization.

10330689511321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378168 (or 189084 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 10330689511321 in words is "ten trillion, three hundred thirty billion, six hundred eighty-nine million, five hundred eleven thousand, three hundred twenty-one".