2101131132193 has 4 divisors (see below), whose sum is σ = 2103373535620. Its totient is φ = 2098888728768.

The previous prime is 2101131132187. The next prime is 2101131132223. The reversal of 2101131132193 is 3912311311012.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 616700801809 + 1484430330384 = 785303^2 + 1218372^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101131132193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101131132493) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1121200308 + ... + 1121202181.

It is an arithmetic number, because the mean of its divisors is an integer number (525843383905).

Almost surely, 2^{2101131132193} is an apocalyptic number.

It is an amenable number.

2101131132193 is a deficient number, since it is larger than the sum of its proper divisors (2242403427).

2101131132193 is an equidigital number, since it uses as much as digits as its factorization.

2101131132193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242403426.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 2101131132193 in words is "two trillion, one hundred one billion, one hundred thirty-one million, one hundred thirty-two thousand, one hundred ninety-three".