10032133201321 has 32 divisors (see below), whose sum is σ = 12779472614400. Its totient is φ = 7648889054400.

The previous prime is 10032133201319. The next prime is 10032133201379. The reversal of 10032133201321 is 12310233123001.

It is not a de Polignac number, because 10032133201321 - 2¹ = 10032133201319 is a prime.

It is a super-2 number, since 2×10032133201321² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10032133201292 and 10032133201301.

It is not an unprimeable number, because it can be changed into a prime (10032133201421) 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, 5756775 + ... + 7294156.

It is an arithmetic number, because the mean of its divisors is an integer number (399358519200).

Almost surely, 2^{10032133201321} is an apocalyptic number.

10032133201321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10032133201321 is a deficient number, since it is larger than the sum of its proper divisors (2747339413079).

10032133201321 is a wasteful number, since it uses less digits than its factorization.

10032133201321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13051165.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10032133201321 its reverse (12310233123001), we get a palindrome (22342366324322).

The spelling of 10032133201321 in words is "ten trillion, thirty-two billion, one hundred thirty-three million, two hundred one thousand, three hundred twenty-one".