442013123013 has 64 divisors (see below), whose sum is σ = 739823155200. Its totient is φ = 228041775360.

The previous prime is 442013122981. The next prime is 442013123021. The reversal of 442013123013 is 310321310244.

It is a happy number.

It is not a de Polignac number, because 442013123013 - 2⁵ = 442013122981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442013123063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64345543 + ... + 64352411.

It is an arithmetic number, because the mean of its divisors is an integer number (11559736800).

Almost surely, 2^442013123013 is an apocalyptic number.

It is an amenable number.

442013123013 is a deficient number, since it is larger than the sum of its proper divisors (297810032187).

442013123013 is a wasteful number, since it uses less digits than its factorization.

442013123013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8762.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 442013123013 its reverse (310321310244), we get a palindrome (752334433257).

The spelling of 442013123013 in words is "four hundred forty-two billion, thirteen million, one hundred twenty-three thousand, thirteen".