1000013000042 has 32 divisors (see below), whose sum is σ = 1773498326400. Its totient is φ = 413780689728.

The previous prime is 1000013000039. The next prime is 1000013000111. The reversal of 1000013000042 is 2400003100001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1000012999987 and 1000013000032.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13964384 + ... + 14035812.

It is an arithmetic number, because the mean of its divisors is an integer number (55421822700).

Almost surely, 2^{1000013000042} is an apocalyptic number.

It is a pronic number, being equal to 1000006×1000007.

1000013000042 is a deficient number, since it is larger than the sum of its proper divisors (773485326358).

1000013000042 is a wasteful number, since it uses less digits than its factorization.

1000013000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105950.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1000013000042 its reverse (2400003100001), we get a palindrome (3400016100043).

The spelling of 1000013000042 in words is "one trillion, thirteen million, forty-two", and thus it is an aban number and an uban number.