1007041011117 has 16 divisors (see below), whose sum is σ = 1386069522432. Its totient is φ = 649687667760.

The previous prime is 1007041011107. The next prime is 1007041011143. The reversal of 1007041011117 is 7111101407001.

It is not a de Polignac number, because 1007041011117 - 2⁸ = 1007041010861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007041011107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4441458 + ... + 4662684.

It is an arithmetic number, because the mean of its divisors is an integer number (86629345152).

Almost surely, 2^{1007041011117} is an apocalyptic number.

It is an amenable number.

1007041011117 is a deficient number, since it is larger than the sum of its proper divisors (379028511315).

1007041011117 is a wasteful number, since it uses less digits than its factorization.

1007041011117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270208.

The product of its (nonzero) digits is 196, while the sum is 24.

Adding to 1007041011117 its reverse (7111101407001), we get a palindrome (8118142418118).

The spelling of 1007041011117 in words is "one trillion, seven billion, forty-one million, eleven thousand, one hundred seventeen".