2013421431021 has 128 divisors (see below), whose sum is σ = 3792162189312. Its totient is φ = 916468992000.

The previous prime is 2013421431017. The next prime is 2013421431041. The reversal of 2013421431021 is 1201341243102.

It is not a de Polignac number, because 2013421431021 - 2² = 2013421431017 is a prime.

It is a super-2 number, since 2×2013421431021² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013421430982 and 2013421431000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013421431041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4334566 + ... + 4776536.

It is an arithmetic number, because the mean of its divisors is an integer number (29626267104).

Almost surely, 2^{2013421431021} is an apocalyptic number.

2013421431021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2013421431021 is a deficient number, since it is larger than the sum of its proper divisors (1778740758291).

2013421431021 is a wasteful number, since it uses less digits than its factorization.

2013421431021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442083.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2013421431021 its reverse (1201341243102), we get a palindrome (3214762674123).

It can be divided in two parts, 2013421 and 431021, that added together give a palindrome (2444442).

The spelling of 2013421431021 in words is "two trillion, thirteen billion, four hundred twenty-one million, four hundred thirty-one thousand, twenty-one".