101131302321 has 48 divisors (see below), whose sum is σ = 170483040000. Its totient is φ = 57745541952.

The previous prime is 101131302319. The next prime is 101131302331. The reversal of 101131302321 is 123203131101.

101131302321 is a `hidden beast` number, since 1 + 0 + 11 + 31 + 302 + 321 = 666.

It is not a de Polignac number, because 101131302321 - 2¹ = 101131302319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101131302294 and 101131302303.

It is not an unprimeable number, because it can be changed into a prime (101131302331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4307005 + ... + 4330421.

It is an arithmetic number, because the mean of its divisors is an integer number (3551730000).

Almost surely, 2^101131302321 is an apocalyptic number.

It is an amenable number.

101131302321 is a deficient number, since it is larger than the sum of its proper divisors (69351737679).

101131302321 is a wasteful number, since it uses less digits than its factorization.

101131302321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24843 (or 24826 counting only the distinct ones).

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

Adding to 101131302321 its reverse (123203131101), we get a palindrome (224334433422).

The spelling of 101131302321 in words is "one hundred one billion, one hundred thirty-one million, three hundred two thousand, three hundred twenty-one".