101032221313 has 2 divisors, whose sum is σ = 101032221314. Its totient is φ = 101032221312.

The previous prime is 101032221293. The next prime is 101032221319. The reversal of 101032221313 is 313122230101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65685589264 + 35346632049 = 256292^2 + 188007^2 .

It is a cyclic number.

It is not a de Polignac number, because 101032221313 - 2¹⁷ = 101032090241 is a prime.

It is a super-3 number, since 3×101032221313³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (101032221319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50516110656 + 50516110657.

It is an arithmetic number, because the mean of its divisors is an integer number (50516110657).

Almost surely, 2^101032221313 is an apocalyptic number.

It is an amenable number.

101032221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101032221313 is an equidigital number, since it uses as much as digits as its factorization.

101032221313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 101032221313 its reverse (313122230101), we get a palindrome (414154451414).

The spelling of 101032221313 in words is "one hundred one billion, thirty-two million, two hundred twenty-one thousand, three hundred thirteen".