101331313321103 has 8 divisors (see below), whose sum is σ = 102844499224320. Its totient is φ = 99818150307480.

The previous prime is 101331313321031. The next prime is 101331313321129. The reversal of 101331313321103 is 301123313133101.

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 101331313321103 - 2¹⁴ = 101331313304719 is a prime.

It is a super-3 number, since 3×101331313321103³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331313321153) 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, 3303128 + ... + 14614146.

It is an arithmetic number, because the mean of its divisors is an integer number (12855562403040).

Almost surely, 2^{101331313321103} is an apocalyptic number.

101331313321103 is a deficient number, since it is larger than the sum of its proper divisors (1513185903217).

101331313321103 is a wasteful number, since it uses less digits than its factorization.

101331313321103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11444797.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 101331313321103 its reverse (301123313133101), we get a palindrome (402454626454204).

The spelling of 101331313321103 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred thirteen million, three hundred twenty-one thousand, one hundred three".