1231101012321 has 12 divisors (see below), whose sum is σ = 1826318018772. Its totient is φ = 798552007776.

The previous prime is 1231101012313. The next prime is 1231101012377. The reversal of 1231101012321 is 1232101011321.

1231101012321 is a `hidden beast` number, since 1 + 231 + 10 + 101 + 2 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1193119290000 + 37981722321 = 1092300^2 + 194889^2 .

It is not a de Polignac number, because 1231101012321 - 2³ = 1231101012313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1231101012294 and 1231101012303.

It is not an unprimeable number, because it can be changed into a prime (1231101012391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1848499686 + ... + 1848500351.

It is an arithmetic number, because the mean of its divisors is an integer number (152193168231).

Almost surely, 2^{1231101012321} is an apocalyptic number.

It is an amenable number.

1231101012321 is a deficient number, since it is larger than the sum of its proper divisors (595217006451).

1231101012321 is a wasteful number, since it uses less digits than its factorization.

1231101012321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697000080 (or 3697000077 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1231101012321 its reverse (1232101011321), we get a palindrome (2463202023642).

The spelling of 1231101012321 in words is "one trillion, two hundred thirty-one billion, one hundred one million, twelve thousand, three hundred twenty-one".