321133322029 has 48 divisors (see below), whose sum is σ = 374615439744. Its totient is φ = 273518467200.

The previous prime is 321133322023. The next prime is 321133322087. The reversal of 321133322029 is 920223331123.

It is not a de Polignac number, because 321133322029 - 2¹⁷ = 321133190957 is a prime.

It is a super-2 number, since 2×321133322029² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321133322023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29480674 + ... + 29491564.

It is an arithmetic number, because the mean of its divisors is an integer number (7804488328).

Almost surely, 2^321133322029 is an apocalyptic number.

It is an amenable number.

321133322029 is a deficient number, since it is larger than the sum of its proper divisors (53482117715).

321133322029 is a wasteful number, since it uses less digits than its factorization.

321133322029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11106 (or 11087 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The spelling of 321133322029 in words is "three hundred twenty-one billion, one hundred thirty-three million, three hundred twenty-two thousand, twenty-nine".