111013311292321 has 2 divisors, whose sum is σ = 111013311292322. Its totient is φ = 111013311292320.

The previous prime is 111013311292319. The next prime is 111013311292357. The reversal of 111013311292321 is 123292113310111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98782448812096 + 12230862480225 = 9938936^2 + 3497265^2 .

It is a cyclic number.

It is not a de Polignac number, because 111013311292321 - 2¹ = 111013311292319 is a prime.

It is a super-2 number, since 2×111013311292321² (a number of 29 digits) contains 22 as substring.

Together with 111013311292319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (111013311292361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55506655646160 + 55506655646161.

It is an arithmetic number, because the mean of its divisors is an integer number (55506655646161).

Almost surely, 2^{111013311292321} is an apocalyptic number.

It is an amenable number.

111013311292321 is a deficient number, since it is larger than the sum of its proper divisors (1).

111013311292321 is an equidigital number, since it uses as much as digits as its factorization.

111013311292321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 111013311292321 in words is "one hundred eleven trillion, thirteen billion, three hundred eleven million, two hundred ninety-two thousand, three hundred twenty-one".