2013431021 has 6 divisors (see below), whose sum is σ = 2342154510. Its totient is φ = 1725797976.

The previous prime is 2013431009. The next prime is 2013431033. The reversal of 2013431021 is 1201343102.

It is an interprime number because it is at equal distance from previous prime (2013431009) and next prime (2013431033).

It can be written as a sum of positive squares in only one way, i.e., 2005785796 + 7645225 = 44786^2 + 2765^2 .

It is not a de Polignac number, because 2013431021 - 2¹⁸ = 2013168877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013431081) 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 5 ways as a sum of consecutive naturals, for example, 20545166 + ... + 20545263.

It is an arithmetic number, because the mean of its divisors is an integer number (390359085).

Almost surely, 2^2013431021 is an apocalyptic number.

It is an amenable number.

2013431021 is a deficient number, since it is larger than the sum of its proper divisors (328723489).

2013431021 is an equidigital number, since it uses as much as digits as its factorization.

2013431021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41090443 (or 41090436 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2013431021 is about 44871.2716668472. The cubic root of 2013431021 is about 1262.7350976881.

Adding to 2013431021 its reverse (1201343102), we get a palindrome (3214774123).

The spelling of 2013431021 in words is "two billion, thirteen million, four hundred thirty-one thousand, twenty-one".