221312032429 has 2 divisors, whose sum is σ = 221312032430. Its totient is φ = 221312032428.

The previous prime is 221312032379. The next prime is 221312032453. The reversal of 221312032429 is 924230213122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128712325225 + 92599707204 = 358765^2 + 304302^2 .

It is a cyclic number.

It is not a de Polignac number, because 221312032429 - 2¹⁷ = 221311901357 is a prime.

It is a super-3 number, since 3×221312032429³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221312032429.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221312032499) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110656016214 + 110656016215.

It is an arithmetic number, because the mean of its divisors is an integer number (110656016215).

Almost surely, 2^221312032429 is an apocalyptic number.

It is an amenable number.

221312032429 is a deficient number, since it is larger than the sum of its proper divisors (1).

221312032429 is an equidigital number, since it uses as much as digits as its factorization.

221312032429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 221312032429 in words is "two hundred twenty-one billion, three hundred twelve million, thirty-two thousand, four hundred twenty-nine".