321133120101 has 80 divisors (see below), whose sum is σ = 498214886400. Its totient is φ = 206031278592.

The previous prime is 321133120039. The next prime is 321133120103. The reversal of 321133120101 is 101021331123.

321133120101 is a `hidden beast` number, since 3 + 211 + 331 + 20 + 101 = 666.

It is not a de Polignac number, because 321133120101 - 2¹⁵ = 321133087333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321133120103) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47791420 + ... + 47798138.

It is an arithmetic number, because the mean of its divisors is an integer number (6227686080).

Almost surely, 2^321133120101 is an apocalyptic number.

It is an amenable number.

321133120101 is a deficient number, since it is larger than the sum of its proper divisors (177081766299).

321133120101 is a wasteful number, since it uses less digits than its factorization.

321133120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000 (or 6991 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 321133120101 its reverse (101021331123), we get a palindrome (422154451224).

The spelling of 321133120101 in words is "three hundred twenty-one billion, one hundred thirty-three million, one hundred twenty thousand, one hundred one".