321013122114433 has 48 divisors (see below), whose sum is σ = 393528301689600. Its totient is φ = 260373362941440.

The previous prime is 321013122114427. The next prime is 321013122114457. The reversal of 321013122114433 is 334411221310123.

It is not a de Polignac number, because 321013122114433 - 2¹³ = 321013122106241 is a prime.

It is a super-2 number, since 2×321013122114433² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321013122114395 and 321013122114404.

It is not an unprimeable number, because it can be changed into a prime (321013122114413) 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 in 47 ways as a sum of consecutive naturals, for example, 3540137091 + ... + 3540227767.

It is an arithmetic number, because the mean of its divisors is an integer number (8198506285200).

Almost surely, 2^{321013122114433} is an apocalyptic number.

It is an amenable number.

321013122114433 is a deficient number, since it is larger than the sum of its proper divisors (72515179575167).

321013122114433 is a wasteful number, since it uses less digits than its factorization.

321013122114433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95030 (or 95023 counting only the distinct ones).

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

Adding to 321013122114433 its reverse (334411221310123), we get a palindrome (655424343424556).

The spelling of 321013122114433 in words is "three hundred twenty-one trillion, thirteen billion, one hundred twenty-two million, one hundred fourteen thousand, four hundred thirty-three".