10011144401321 has 32 divisors (see below), whose sum is σ = 11528366653440. Its totient is φ = 8515865736000.

The previous prime is 10011144401311. The next prime is 10011144401333. The reversal of 10011144401321 is 12310444111001.

10011144401321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011144401321 - 2⁶ = 10011144401257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011144401311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3147167351 + ... + 3147170531.

It is an arithmetic number, because the mean of its divisors is an integer number (360261457920).

Almost surely, 2^{10011144401321} is an apocalyptic number.

It is an amenable number.

10011144401321 is a deficient number, since it is larger than the sum of its proper divisors (1517222252119).

10011144401321 is a wasteful number, since it uses less digits than its factorization.

10011144401321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6845.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 10011144401321 its reverse (12310444111001), we get a palindrome (22321588512322).

The spelling of 10011144401321 in words is "ten trillion, eleven billion, one hundred forty-four million, four hundred one thousand, three hundred twenty-one".