20130123321 has 80 divisors (see below), whose sum is σ = 37591931520. Its totient is φ = 10429067520.

The previous prime is 20130123311. The next prime is 20130123347. The reversal of 20130123321 is 12332103102.

20130123321 is a `hidden beast` number, since 20 + 1 + 301 + 23 + 321 = 666.

It is not a de Polignac number, because 20130123321 - 2²¹ = 20128026169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20130123294 and 20130123303.

It is not an unprimeable number, because it can be changed into a prime (20130123311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2422045 + ... + 2430341.

It is an arithmetic number, because the mean of its divisors is an integer number (469899144).

Almost surely, 2^20130123321 is an apocalyptic number.

20130123321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20130123321 is a deficient number, since it is larger than the sum of its proper divisors (17461808199).

20130123321 is a wasteful number, since it uses less digits than its factorization.

20130123321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8716 (or 8707 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20130123321 its reverse (12332103102), we get a palindrome (32462226423).

The spelling of 20130123321 in words is "twenty billion, one hundred thirty million, one hundred twenty-three thousand, three hundred twenty-one".