101323312213123 has 72 divisors (see below), whose sum is σ = 140300313405840. Its totient is φ = 72472744713600.

The previous prime is 101323312213061. The next prime is 101323312213127. The reversal of 101323312213123 is 321312213323101.

It is not a de Polignac number, because 101323312213123 - 2³⁷ = 101185873259651 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101323312213091 and 101323312213100.

It is not an unprimeable number, because it can be changed into a prime (101323312213127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10124793 + ... + 17468773.

It is an arithmetic number, because the mean of its divisors is an integer number (1948615463970).

Almost surely, 2^{101323312213123} is an apocalyptic number.

101323312213123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101323312213123 is a deficient number, since it is larger than the sum of its proper divisors (38977001192717).

101323312213123 is a wasteful number, since it uses less digits than its factorization.

101323312213123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7344209 (or 7344191 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 101323312213123 its reverse (321312213323101), we get a palindrome (422635525536224).

The spelling of 101323312213123 in words is "one hundred one trillion, three hundred twenty-three billion, three hundred twelve million, two hundred thirteen thousand, one hundred twenty-three".