1011013020013 has 8 divisors (see below), whose sum is σ = 1012157871032. Its totient is φ = 1009868311296.

The previous prime is 1011013020011. The next prime is 1011013020197. The reversal of 1011013020013 is 3100203101101.

It can be written as a sum of positive squares in 4 ways, for example, as 83880902884 + 927132117129 = 289622^2 + 962877^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011013020013 - 2¹ = 1011013020011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011013019975 and 1011013020002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011013020011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21262081 + ... + 21309577.

It is an arithmetic number, because the mean of its divisors is an integer number (126519733879).

Almost surely, 2^{1011013020013} is an apocalyptic number.

It is an amenable number.

1011013020013 is a deficient number, since it is larger than the sum of its proper divisors (1144851019).

1011013020013 is an equidigital number, since it uses as much as digits as its factorization.

1011013020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71151.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1011013020013 its reverse (3100203101101), we get a palindrome (4111216121114).

The spelling of 1011013020013 in words is "one trillion, eleven billion, thirteen million, twenty thousand, thirteen".