2140020013 has 2 divisors, whose sum is σ = 2140020014. Its totient is φ = 2140020012.

The previous prime is 2140020011. The next prime is 2140020031. The reversal of 2140020013 is 3100200412.

Together with next prime (2140020031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1700572644 + 439447369 = 41238^2 + 20963^2 .

It is a cyclic number.

It is not a de Polignac number, because 2140020013 - 2¹ = 2140020011 is a prime.

Together with 2140020011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2140019975 and 2140020002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2140020011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1070010006 + 1070010007.

It is an arithmetic number, because the mean of its divisors is an integer number (1070010007).

Almost surely, 2^2140020013 is an apocalyptic number.

It is an amenable number.

2140020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2140020013 is an equidigital number, since it uses as much as digits as its factorization.

2140020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2140020013 is about 46260.3503337361. The cubic root of 2140020013 is about 1288.6627596522.

Adding to 2140020013 its reverse (3100200412), we get a palindrome (5240220425).

The spelling of 2140020013 in words is "two billion, one hundred forty million, twenty thousand, thirteen".