101221131301331 has 2 divisors, whose sum is σ = 101221131301332. Its totient is φ = 101221131301330.

The previous prime is 101221131301289. The next prime is 101221131301343. The reversal of 101221131301331 is 133103131122101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101221131301331 - 2²² = 101221127107027 is a prime.

It is a super-2 number, since 2×101221131301331² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101221131301297 and 101221131301306.

It is not a weakly prime, because it can be changed into another prime (101221131801331) 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 as a sum of consecutive naturals, namely, 50610565650665 + 50610565650666.

It is an arithmetic number, because the mean of its divisors is an integer number (50610565650666).

Almost surely, 2^{101221131301331} is an apocalyptic number.

101221131301331 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221131301331 is an equidigital number, since it uses as much as digits as its factorization.

101221131301331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 101221131301331 its reverse (133103131122101), we get a palindrome (234324262423432).

The spelling of 101221131301331 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred thirty-one million, three hundred one thousand, three hundred thirty-one".