1013038224004 has 9 divisors (see below), whose sum is σ = 1772820414757. Its totient is φ = 506518105504.

The previous prime is 1013038223941. The next prime is 1013038224017. The reversal of 1013038224004 is 4004228303101.

The square root of 1013038224004 is 1006498.

It is a perfect power (a square), and thus also a powerful number.

1013038224004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 80654864004 + 932383360000 = 283998^2 + 965600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1761372 + ... + 2264620.

Almost surely, 2^{1013038224004} is an apocalyptic number.

1013038224004 is the 1006498-th square number.

It is an amenable number.

1013038224004 is a deficient number, since it is larger than the sum of its proper divisors (759782190753).

1013038224004 is an frugal number, since it uses more digits than its factorization.

1013038224004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006502 (or 503251 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 1013038224004 in words is "one trillion, thirteen billion, thirty-eight million, two hundred twenty-four thousand, four".