101331322113311 has 8 divisors (see below), whose sum is σ = 103243794517584. Its totient is φ = 99418870474560.

The previous prime is 101331322113289. The next prime is 101331322113367. The reversal of 101331322113311 is 113311223133101.

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

It is a cyclic number.

It is not a de Polignac number, because 101331322113311 - 2³⁰ = 101330248371487 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331322113211) 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 7 ways as a sum of consecutive naturals, for example, 4841555 + ... + 15036731.

It is an arithmetic number, because the mean of its divisors is an integer number (12905474314698).

Almost surely, 2^{101331322113311} is an apocalyptic number.

101331322113311 is a deficient number, since it is larger than the sum of its proper divisors (1912472404273).

101331322113311 is a wasteful number, since it uses less digits than its factorization.

101331322113311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10382761.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 101331322113311 its reverse (113311223133101), we get a palindrome (214642545246412).

The spelling of 101331322113311 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred twenty-two million, one hundred thirteen thousand, three hundred eleven".