10013212021321 has 8 divisors (see below), whose sum is σ = 10358543421000. Its totient is φ = 9667883836800.

The previous prime is 10013212021313. The next prime is 10013212021333. The reversal of 10013212021321 is 12312021231001.

It can be written as a sum of positive squares in 4 ways, for example, as 5370393742921 + 4642818278400 = 2317411^2 + 2154720^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10013212021321 - 2³ = 10013212021313 is a prime.

It is a super-3 number, since 3×10013212021321³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10013212021381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6729021 + ... + 8081221.

It is an arithmetic number, because the mean of its divisors is an integer number (1294817927625).

Almost surely, 2^{10013212021321} is an apocalyptic number.

It is an amenable number.

10013212021321 is a deficient number, since it is larger than the sum of its proper divisors (345331399679).

10013212021321 is a wasteful number, since it uses less digits than its factorization.

10013212021321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607579.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10013212021321 its reverse (12312021231001), we get a palindrome (22325233252322).

The spelling of 10013212021321 in words is "ten trillion, thirteen billion, two hundred twelve million, twenty-one thousand, three hundred twenty-one".