10213401321 has 48 divisors (see below), whose sum is σ = 16772515200. Its totient is φ = 6129674496.

The previous prime is 10213401307. The next prime is 10213401347. The reversal of 10213401321 is 12310431201.

10213401321 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 340 + 1 + 321 = 666.

It is not a de Polignac number, because 10213401321 - 2⁶ = 10213401257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10213401294 and 10213401303.

It is not an unprimeable number, because it can be changed into a prime (10213401371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151015 + ... + 207923.

It is an arithmetic number, because the mean of its divisors is an integer number (349427400).

Almost surely, 2^10213401321 is an apocalyptic number.

It is an amenable number.

10213401321 is a deficient number, since it is larger than the sum of its proper divisors (6559113879).

10213401321 is a wasteful number, since it uses less digits than its factorization.

10213401321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56975 (or 56952 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10213401321 its reverse (12310431201), we get a palindrome (22523832522).

The spelling of 10213401321 in words is "ten billion, two hundred thirteen million, four hundred one thousand, three hundred twenty-one".