321431133031101 has 12 divisors (see below), whose sum is σ = 465930013019328. Its totient is φ = 213530222647944.

The previous prime is 321431133031039. The next prime is 321431133031109. The reversal of 321431133031101 is 101130331134123.

321431133031101 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 3 + 11 + 330 + 311 + 0 + 1 = 666.

It is not a de Polignac number, because 321431133031101 - 2¹¹ = 321431133029053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321431133031109) 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 11 ways as a sum of consecutive naturals, for example, 63099945045 + ... + 63099950138.

It is an arithmetic number, because the mean of its divisors is an integer number (38827501084944).

Almost surely, 2^{321431133031101} is an apocalyptic number.

It is an amenable number.

321431133031101 is a deficient number, since it is larger than the sum of its proper divisors (144498879988227).

321431133031101 is a wasteful number, since it uses less digits than its factorization.

321431133031101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126199895472 (or 126199895469 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 321431133031101 its reverse (101130331134123), we get a palindrome (422561464165224).

The spelling of 321431133031101 in words is "three hundred twenty-one trillion, four hundred thirty-one billion, one hundred thirty-three million, thirty-one thousand, one hundred one".