1010020003013 has 32 divisors (see below), whose sum is σ = 1221877923840. Its totient is φ = 815568877440.

The previous prime is 1010020002961. The next prime is 1010020003021. The reversal of 1010020003013 is 3103000200101.

1010020003013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010020003013 - 2⁸ = 1010020002757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010020002985 and 1010020003003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010020003063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89590745 + ... + 89602017.

It is an arithmetic number, because the mean of its divisors is an integer number (38183685120).

Almost surely, 2^{1010020003013} is an apocalyptic number.

It is an amenable number.

1010020003013 is a deficient number, since it is larger than the sum of its proper divisors (211857920827).

1010020003013 is a wasteful number, since it uses less digits than its factorization.

1010020003013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15017.

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

Adding to 1010020003013 its reverse (3103000200101), we get a palindrome (4113020203114).

The spelling of 1010020003013 in words is "one trillion, ten billion, twenty million, three thousand, thirteen".