101567881323353 has 4 divisors (see below), whose sum is σ = 106913559287760. Its totient is φ = 96222203358948.

The previous prime is 101567881323341. The next prime is 101567881323361. The reversal of 101567881323353 is 353323188765101.

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 101567881323353 - 2³⁰ = 101566807581529 is a prime.

It is a super-3 number, since 3×101567881323353³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101567881323383) 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, 2672838982175 + ... + 2672838982212.

It is an arithmetic number, because the mean of its divisors is an integer number (26728389821940).

Almost surely, 2^{101567881323353} is an apocalyptic number.

It is an amenable number.

101567881323353 is a deficient number, since it is larger than the sum of its proper divisors (5345677964407).

101567881323353 is an equidigital number, since it uses as much as digits as its factorization.

101567881323353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345677964406.

The product of its (nonzero) digits is 10886400, while the sum is 56.

The spelling of 101567881323353 in words is "one hundred one trillion, five hundred sixty-seven billion, eight hundred eighty-one million, three hundred twenty-three thousand, three hundred fifty-three".