1013020013 has 4 divisors (see below), whose sum is σ = 1013984928. Its totient is φ = 1012055100.

The previous prime is 1013019991. The next prime is 1013020031. The reversal of 1013020013 is 3100203101.

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.

It is a cyclic number.

It is not a de Polignac number, because 1013020013 - 2¹⁰ = 1013018989 is a prime.

It is a super-3 number, since 3×1013020013³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013019976 and 1013020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013020033) 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, 480881 + ... + 482982.

It is an arithmetic number, because the mean of its divisors is an integer number (253496232).

Almost surely, 2^1013020013 is an apocalyptic number.

It is an amenable number.

1013020013 is a deficient number, since it is larger than the sum of its proper divisors (964915).

1013020013 is an equidigital number, since it uses as much as digits as its factorization.

1013020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964914.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1013020013 is about 31827.9753204630. The cubic root of 1013020013 is about 1004.3213037689.

Adding to 1013020013 its reverse (3100203101), we get a palindrome (4113223114).

The spelling of 1013020013 in words is "one billion, thirteen million, twenty thousand, thirteen".