1231010101321 has 72 divisors (see below), whose sum is σ = 1699483411080. Its totient is φ = 883144120320.

The previous prime is 1231010101303. The next prime is 1231010101331.

It is a happy number.

1231010101321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 38010961296 + 1192999140025 = 194964^2 + 1092245^2 .

It is not a de Polignac number, because 1231010101321 - 2²⁵ = 1230976546889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1231010101295 and 1231010101304.

It is not an unprimeable number, because it can be changed into a prime (1231010101331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29962425 + ... + 30003481.

It is an arithmetic number, because the mean of its divisors is an integer number (23603936265).

Almost surely, 2^{1231010101321} is an apocalyptic number.

1231010101321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1231010101321 is a deficient number, since it is larger than the sum of its proper divisors (468473309759).

1231010101321 is a wasteful number, since it uses less digits than its factorization.

1231010101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41495 (or 41477 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 1231010 and 101321, that added together give a palindrome (1332331).

The spelling of 1231010101321 in words is "one trillion, two hundred thirty-one billion, ten million, one hundred one thousand, three hundred twenty-one".