1007343814101 has 8 divisors (see below), whose sum is σ = 1413815879520. Its totient is φ = 636217145712.

The previous prime is 1007343814031. The next prime is 1007343814121. The reversal of 1007343814101 is 1014183437001.

It is a happy number.

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

It is not a de Polignac number, because 1007343814101 - 2¹⁴ = 1007343797717 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007343814121) 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, 8836349190 + ... + 8836349303.

It is an arithmetic number, because the mean of its divisors is an integer number (176726984940).

Almost surely, 2^{1007343814101} is an apocalyptic number.

It is an amenable number.

1007343814101 is a deficient number, since it is larger than the sum of its proper divisors (406472065419).

1007343814101 is a wasteful number, since it uses less digits than its factorization.

1007343814101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17672698515.

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 1007343814101 in words is "one trillion, seven billion, three hundred forty-three million, eight hundred fourteen thousand, one hundred one".