101310323121 has 24 divisors (see below), whose sum is σ = 167496288960. Its totient is φ = 57803741856.

The previous prime is 101310323077. The next prime is 101310323129. The reversal of 101310323121 is 121323013101.

101310323121 is a `hidden beast` number, since 10 + 1 + 310 + 32 + 312 + 1 = 666.

It is not a de Polignac number, because 101310323121 - 2⁶ = 101310323057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101310323094 and 101310323103.

It is not an unprimeable number, because it can be changed into a prime (101310323129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1178590 + ... + 1261623.

It is an arithmetic number, because the mean of its divisors is an integer number (6979012040).

Almost surely, 2^101310323121 is an apocalyptic number.

It is an amenable number.

101310323121 is a deficient number, since it is larger than the sum of its proper divisors (66185965839).

101310323121 is a wasteful number, since it uses less digits than its factorization.

101310323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440885 (or 2440882 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101310323121 its reverse (121323013101), we get a palindrome (222633336222).

The spelling of 101310323121 in words is "one hundred one billion, three hundred ten million, three hundred twenty-three thousand, one hundred twenty-one".