101321331 has 32 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 62751360.

The previous prime is 101321303. The next prime is 101321351. The reversal of 101321331 is 133123101.

It is not a de Polignac number, because 101321331 - 2¹⁸ = 101059187 is a prime.

It is a super-2 number, since 2×101321331² = 20532024231223122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101321331.

It is not an unprimeable number, because it can be changed into a prime (101321351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290145 + ... + 290493.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2^101321331 is an apocalyptic number.

101321331 is a deficient number, since it is larger than the sum of its proper divisors (43830669).

101321331 is a wasteful number, since it uses less digits than its factorization.

101321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 101321331 is about 10065.8497405833. The cubic root of 101321331 is about 466.1943030403.

Adding to 101321331 its reverse (133123101), we get a palindrome (234444432).

The spelling of 101321331 in words is "one hundred one million, three hundred twenty-one thousand, three hundred thirty-one".