2013122121003 has 48 divisors (see below), whose sum is σ = 3376061148096. Its totient is φ = 1132205506560.

The previous prime is 2013122120953. The next prime is 2013122121067. The reversal of 2013122121003 is 3001212213102.

2013122121003 is a `hidden beast` number, since 201 + 31 + 221 + 210 + 0 + 3 = 666.

It is not a de Polignac number, because 2013122121003 - 2⁶ = 2013122120939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013122171003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196075 + ... + 2016107.

It is an arithmetic number, because the mean of its divisors is an integer number (70334607252).

Almost surely, 2^{2013122121003} is an apocalyptic number.

2013122121003 is a deficient number, since it is larger than the sum of its proper divisors (1362939027093).

2013122121003 is a wasteful number, since it uses less digits than its factorization.

2013122121003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820324 (or 1820321 counting only the distinct ones).

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

Adding to 2013122121003 its reverse (3001212213102), we get a palindrome (5014334334105).

The spelling of 2013122121003 in words is "two trillion, thirteen billion, one hundred twenty-two million, one hundred twenty-one thousand, three".