10032211321 has 16 divisors (see below), whose sum is σ = 11369102976. Its totient is φ = 8772400000.

The previous prime is 10032211313. The next prime is 10032211331. The reversal of 10032211321 is 12311223001.

10032211321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10032211321 - 2³ = 10032211313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10032211295 and 10032211304.

It is not an unprimeable number, because it can be changed into a prime (10032211331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124630 + ... + 188671.

It is an arithmetic number, because the mean of its divisors is an integer number (710568936).

Almost surely, 2^10032211321 is an apocalyptic number.

10032211321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10032211321 is a deficient number, since it is larger than the sum of its proper divisors (1336891655).

10032211321 is a wasteful number, since it uses less digits than its factorization.

10032211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313424.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10032211321 its reverse (12311223001), we get a palindrome (22343434322).

The spelling of 10032211321 in words is "ten billion, thirty-two million, two hundred eleven thousand, three hundred twenty-one".