1020000000013 has 4 divisors (see below), whose sum is σ = 1073684210560. Its totient is φ = 966315789468.

The previous prime is 1020000000011. The next prime is 1020000000023. The reversal of 1020000000013 is 3100000000201.

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 1020000000013 - 2¹ = 1020000000011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1019999999933 and 1020000000005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020000000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26842105245 + ... + 26842105282.

It is an arithmetic number, because the mean of its divisors is an integer number (268421052640).

Almost surely, 2^{1020000000013} is an apocalyptic number.

It is an amenable number.

1020000000013 is a deficient number, since it is larger than the sum of its proper divisors (53684210547).

1020000000013 is an equidigital number, since it uses as much as digits as its factorization.

1020000000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53684210546.

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 1020000000013 its reverse (3100000000201), we get a palindrome (4120000000214).

The spelling of 1020000000013 in words is "one trillion, twenty billion, thirteen", and thus it is an aban number and an uban number.