101321312031331 has 16 divisors (see below), whose sum is σ = 115813459998720. Its totient is φ = 86833583938080.

The previous prime is 101321312031301. The next prime is 101321312031337. The reversal of 101321312031331 is 133130213123101.

It is a de Polignac number, because none of the positive numbers 2^k-101321312031331 is a prime.

It is a super-2 number, since 2×101321312031331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101321312031296 and 101321312031305.

It is not an unprimeable number, because it can be changed into a prime (101321312031337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1487556966 + ... + 1487625076.

It is an arithmetic number, because the mean of its divisors is an integer number (7238341249920).

Almost surely, 2^{101321312031331} is an apocalyptic number.

101321312031331 is a deficient number, since it is larger than the sum of its proper divisors (14492147967389).

101321312031331 is a wasteful number, since it uses less digits than its factorization.

101321312031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97434.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 101321312031331 its reverse (133130213123101), we get a palindrome (234451525154432).

The spelling of 101321312031331 in words is "one hundred one trillion, three hundred twenty-one billion, three hundred twelve million, thirty-one thousand, three hundred thirty-one".