101031131321 has 4 divisors (see below), whose sum is σ = 101031883044. Its totient is φ = 101030379600.

The previous prime is 101031131261. The next prime is 101031131347. The reversal of 101031131321 is 123131130101.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 67099649296 + 33931482025 = 259036^2 + 184205^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101031131321 is a prime.

It is a super-2 number, since 2×101031131321² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101031131321.

It is not an unprimeable number, because it can be changed into a prime (101031131371) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112970 + ... + 463491.

It is an arithmetic number, because the mean of its divisors is an integer number (25257970761).

Almost surely, 2^101031131321 is an apocalyptic number.

It is an amenable number.

101031131321 is a deficient number, since it is larger than the sum of its proper divisors (751723).

101031131321 is an equidigital number, since it uses as much as digits as its factorization.

101031131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751722.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101031131321 its reverse (123131130101), we get a palindrome (224162261422).

The spelling of 101031131321 in words is "one hundred one billion, thirty-one million, one hundred thirty-one thousand, three hundred twenty-one".