101123131321 has 2 divisors, whose sum is σ = 101123131322. Its totient is φ = 101123131320.

The previous prime is 101123131297. The next prime is 101123131339. The reversal of 101123131321 is 123131321101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91482051600 + 9641079721 = 302460^2 + 98189^2 .

It is an emirp because it is prime and its reverse (123131321101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101123131321 - 2²⁹ = 100586260409 is a prime.

It is a super-2 number, since 2×101123131321² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101123137321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561565660 + 50561565661.

It is an arithmetic number, because the mean of its divisors is an integer number (50561565661).

Almost surely, 2^101123131321 is an apocalyptic number.

It is an amenable number.

101123131321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101123131321 is an equidigital number, since it uses as much as digits as its factorization.

101123131321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101123131321 its reverse (123131321101), we get a palindrome (224254452422).

It can be divided in two parts, 101 and 123131321, that multiplied together give a palindrome (12436263421).

The spelling of 101123131321 in words is "one hundred one billion, one hundred twenty-three million, one hundred thirty-one thousand, three hundred twenty-one".