1000193316193 has 16 divisors (see below), whose sum is σ = 1030503866704. Its totient is φ = 970056622080.

The previous prime is 1000193316149. The next prime is 1000193316203. The reversal of 1000193316193 is 3916133910001.

It can be written as a sum of positive squares in 8 ways, for example, as 14507720704 + 985685595489 = 120448^2 + 992817^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000193316193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000193316293) 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, 108937063 + ... + 108946243.

It is an arithmetic number, because the mean of its divisors is an integer number (64406491669).

Almost surely, 2^{1000193316193} is an apocalyptic number.

It is an amenable number.

1000193316193 is a deficient number, since it is larger than the sum of its proper divisors (30310550511).

1000193316193 is an equidigital number, since it uses as much as digits as its factorization.

1000193316193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18292.

The product of its (nonzero) digits is 13122, while the sum is 37.

The spelling of 1000193316193 in words is "one trillion, one hundred ninety-three million, three hundred sixteen thousand, one hundred ninety-three".