42013355206013 has 8 divisors (see below), whose sum is σ = 43739931450168. Its totient is φ = 40317888443904.

The previous prime is 42013355205949. The next prime is 42013355206057. The reversal of 42013355206013 is 31060255331024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4737226251289 + 37276128954724 = 2176517^2 + 6105418^2 .

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 42013355206013 - 2⁶ = 42013355205949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013355206313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7777367756 + ... + 7777373157.

It is an arithmetic number, because the mean of its divisors is an integer number (5467491431271).

Almost surely, 2^{42013355206013} is an apocalyptic number.

It is an amenable number.

42013355206013 is a deficient number, since it is larger than the sum of its proper divisors (1726576244155).

42013355206013 is a wasteful number, since it uses less digits than its factorization.

42013355206013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15554741023.

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 42013355206013 in words is "forty-two trillion, thirteen billion, three hundred fifty-five million, two hundred six thousand, thirteen".