10013121201321 has 96 divisors (see below), whose sum is σ = 17343616942080. Its totient is φ = 5446781739648.

The previous prime is 10013121201319. The next prime is 10013121201359. The reversal of 10013121201321 is 12310212131001.

10013121201321 is a `hidden beast` number, since 1 + 0 + 0 + 131 + 212 + 0 + 1 + 321 = 666.

It is not a de Polignac number, because 10013121201321 - 2¹ = 10013121201319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10013121201294 and 10013121201303.

It is not an unprimeable number, because it can be changed into a prime (10013121201371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 346952590 + ... + 346981448.

It is an arithmetic number, because the mean of its divisors is an integer number (180662676480).

Almost surely, 2^{10013121201321} is an apocalyptic number.

It is an amenable number.

10013121201321 is a deficient number, since it is larger than the sum of its proper divisors (7330495740759).

10013121201321 is a wasteful number, since it uses less digits than its factorization.

10013121201321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32123 (or 32120 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10013121201321 its reverse (12310212131001), we get a palindrome (22323333332322).

The spelling of 10013121201321 in words is "ten trillion, thirteen billion, one hundred twenty-one million, two hundred one thousand, three hundred twenty-one".