321101113128 has 32 divisors (see below), whose sum is σ = 803154480000. Its totient is φ = 106980144768.

The previous prime is 321101113127. The next prime is 321101113129. The reversal of 321101113128 is 821311101123.

It is an interprime number because it is at equal distance from previous prime (321101113127) and next prime (321101113129).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 321101113098 and 321101113107.

It is not an unprimeable number, because it can be changed into a prime (321101113127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3298501 + ... + 3394452.

It is an arithmetic number, because the mean of its divisors is an integer number (25098577500).

Almost surely, 2^321101113128 is an apocalyptic number.

It is an amenable number.

321101113128 is an abundant number, since it is smaller than the sum of its proper divisors (482053366872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321101113128 is a wasteful number, since it uses less digits than its factorization.

321101113128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694961 (or 6694957 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 321101113128 in words is "three hundred twenty-one billion, one hundred one million, one hundred thirteen thousand, one hundred twenty-eight".