2131007100617 has 4 divisors (see below), whose sum is σ = 2132612985216. Its totient is φ = 2129401216020.

The previous prime is 2131007100589. The next prime is 2131007100641. The reversal of 2131007100617 is 7160017001312.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2131007100617 - 2¹² = 2131007096521 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2131007100617.

It is not an unprimeable number, because it can be changed into a prime (2131007100517) 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 3 ways as a sum of consecutive naturals, for example, 802940309 + ... + 802942962.

It is an arithmetic number, because the mean of its divisors is an integer number (533153246304).

Almost surely, 2^{2131007100617} is an apocalyptic number.

It is an amenable number.

2131007100617 is a deficient number, since it is larger than the sum of its proper divisors (1605884599).

2131007100617 is a wasteful number, since it uses less digits than its factorization.

2131007100617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605884598.

The product of its (nonzero) digits is 1764, while the sum is 29.

The spelling of 2131007100617 in words is "two trillion, one hundred thirty-one billion, seven million, one hundred thousand, six hundred seventeen".