20130123102001 has 16 divisors (see below), whose sum is σ = 23252150649600. Its totient is φ = 17223454183680.

The previous prime is 20130123101989. The next prime is 20130123102091. The reversal of 20130123102001 is 10020132103102.

It is a cyclic number.

It is not a de Polignac number, because 20130123102001 - 2¹¹ = 20130123099953 is a prime.

It is a super-2 number, since 2×20130123102001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20130123102091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19160575 + ... + 20183851.

It is an arithmetic number, because the mean of its divisors is an integer number (1453259415600).

Almost surely, 2^{20130123102001} is an apocalyptic number.

It is an amenable number.

20130123102001 is a deficient number, since it is larger than the sum of its proper divisors (3122027547599).

20130123102001 is a wasteful number, since it uses less digits than its factorization.

20130123102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128504.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20130123102001 its reverse (10020132103102), we get a palindrome (30150255205103).

The spelling of 20130123102001 in words is "twenty trillion, one hundred thirty billion, one hundred twenty-three million, one hundred two thousand, one".