10973391637321 has 9 divisors (see below), whose sum is σ = 11022700866951. Its totient is φ = 10924302054912.

The previous prime is 10973391637309. The next prime is 10973391637423. The reversal of 10973391637321 is 12373619337901.

The square root of 10973391637321 is 3312611.

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

It can be written as a sum of positive squares in only one way, i.e., 919824855625 + 10053566781696 = 959075^2 + 3170736^2 .

It is not a de Polignac number, because 10973391637321 - 2¹⁷ = 10973391506249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10973394637321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 751955401 + ... + 751969993.

Almost surely, 2^{10973391637321} is an apocalyptic number.

10973391637321 is the 3312611-st square number.

10973391637321 is the 1656306-th centered octagonal number.

It is an amenable number.

10973391637321 is a deficient number, since it is larger than the sum of its proper divisors (49309229630).

10973391637321 is an frugal number, since it uses more digits than its factorization.

10973391637321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29640 (or 14820 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 55.

The spelling of 10973391637321 in words is "ten trillion, nine hundred seventy-three billion, three hundred ninety-one million, six hundred thirty-seven thousand, three hundred twenty-one".