101331311223123 has 12 divisors (see below), whose sum is σ = 146369617641208. Its totient is φ = 67553206822080.

The previous prime is 101331311223091. The next prime is 101331311223151. The reversal of 101331311223123 is 321322113133101.

101331311223123 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 1 + 311 + 223 + 123 = 666.

It is not a de Polignac number, because 101331311223123 - 2⁵ = 101331311223091 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101331311222123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82746733 + ... + 83962398.

Almost surely, 2^{101331311223123} is an apocalyptic number.

101331311223123 is a deficient number, since it is larger than the sum of its proper divisors (45038306418085).

101331311223123 is a wasteful number, since it uses less digits than its factorization.

101331311223123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166776674 (or 166776671 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 101331311223123 its reverse (321322113133101), we get a palindrome (422653424356224).

The spelling of 101331311223123 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred eleven million, two hundred twenty-three thousand, one hundred twenty-three".