1020042013 has 4 divisors (see below), whose sum is σ = 1020143008. Its totient is φ = 1019941020.

The previous prime is 1020041989. The next prime is 1020042043. The reversal of 1020042013 is 3102400201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 3102400201 = 16369 ⋅189529.

It is a cyclic number.

It is not a de Polignac number, because 1020042013 - 2¹³ = 1020033821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020041984 and 1020042002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020042043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33423 + ... + 56188.

It is an arithmetic number, because the mean of its divisors is an integer number (255035752).

Almost surely, 2^1020042013 is an apocalyptic number.

It is an amenable number.

1020042013 is a deficient number, since it is larger than the sum of its proper divisors (100995).

1020042013 is an equidigital number, since it uses as much as digits as its factorization.

1020042013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100994.

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

The square root of 1020042013 is about 31938.0965775984. The cubic root of 1020042013 is about 1006.6365300370.

Adding to 1020042013 its reverse (3102400201), we get a palindrome (4122442214).

The spelling of 1020042013 in words is "one billion, twenty million, forty-two thousand, thirteen".