101831830321 has 9 divisors (see below), whose sum is σ = 110272095531. Its totient is φ = 93994783272.

The previous prime is 101831830319. The next prime is 101831830351. The reversal of 101831830321 is 123038138101.

The square root of 101831830321 is 319111.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15063880225 + 86767950096 = 122735^2 + 294564^2 .

It is not a de Polignac number, because 101831830321 - 2¹ = 101831830319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101831830351) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4136170 + ... + 4160716.

It is an arithmetic number, because the mean of its divisors is an integer number (12252455059).

Almost surely, 2^101831830321 is an apocalyptic number.

101831830321 is the 319111-st square number.

101831830321 is the 159556-th centered octagonal number.

It is an amenable number.

101831830321 is a deficient number, since it is larger than the sum of its proper divisors (8440265210).

101831830321 is an frugal number, since it uses more digits than its factorization.

101831830321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49120 (or 24560 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

Adding to 101831830321 its reverse (123038138101), we get a palindrome (224869968422).

The spelling of 101831830321 in words is "one hundred one billion, eight hundred thirty-one million, eight hundred thirty thousand, three hundred twenty-one".