11933563341001 has 9 divisors (see below), whose sum is σ = 11956278310599. Its totient is φ = 11910891464064.

The previous prime is 11933563340999. The next prime is 11933563341067. The reversal of 11933563341001 is 10014336533911.

The square root of 11933563341001 is 3454499.

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., 11850978375625 + 82584965376 = 3442525^2 + 287376^2 .

It is not a de Polignac number, because 11933563341001 - 2¹ = 11933563340999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11933563345001) 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, 1993242930 + ... + 1993248916.

Almost surely, 2^{11933563341001} is an apocalyptic number.

11933563341001 is the 3454499-th square number.

11933563341001 is the 1727250-th centered octagonal number.

It is an amenable number.

11933563341001 is a deficient number, since it is larger than the sum of its proper divisors (22714969598).

11933563341001 is an frugal number, since it uses more digits than its factorization.

11933563341001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13128 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

Adding to 11933563341001 its reverse (10014336533911), we get a palindrome (21947899874912).

The spelling of 11933563341001 in words is "eleven trillion, nine hundred thirty-three billion, five hundred sixty-three million, three hundred forty-one thousand, one".