1007013768101 has 8 divisors (see below), whose sum is σ = 1099743004800. Its totient is φ = 914481619840.

The previous prime is 1007013768073. The next prime is 1007013768121. The reversal of 1007013768101 is 1018673107001.

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 1007013768101 - 2¹⁸ = 1007013505957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007013768121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 49261421 + ... + 49281858.

It is an arithmetic number, because the mean of its divisors is an integer number (137467875600).

Almost surely, 2^{1007013768101} is an apocalyptic number.

1007013768101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1007013768101 is a deficient number, since it is larger than the sum of its proper divisors (92729236699).

1007013768101 is an equidigital number, since it uses as much as digits as its factorization.

1007013768101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98544219.

The product of its (nonzero) digits is 7056, while the sum is 35.

The spelling of 1007013768101 in words is "one trillion, seven billion, thirteen million, seven hundred sixty-eight thousand, one hundred one".