1067067312013 has 8 divisors (see below), whose sum is σ = 1075524162560. Its totient is φ = 1058611317120.

The previous prime is 1067067311917. The next prime is 1067067312043. The reversal of 1067067312013 is 3102137607601.

1067067312013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1067067312013 is a prime.

It is a super-2 number, since 2×1067067312013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067067312043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2417878 + ... + 2824936.

It is an arithmetic number, because the mean of its divisors is an integer number (134440520320).

Almost surely, 2^{1067067312013} is an apocalyptic number.

It is an amenable number.

1067067312013 is a deficient number, since it is larger than the sum of its proper divisors (8456850547).

1067067312013 is a wasteful number, since it uses less digits than its factorization.

1067067312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427827.

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 1067067312013 in words is "one trillion, sixty-seven billion, sixty-seven million, three hundred twelve thousand, thirteen".