153331312161321 has 24 divisors (see below), whose sum is σ = 253123276573440. Its totient is φ = 87616189590336.

The previous prime is 153331312161311. The next prime is 153331312161353. The reversal of 153331312161321 is 123161213133351.

153331312161321 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 3 + 1 + 3 + 12 + 1 + 613 + 21 = 666.

It is not a de Polignac number, because 153331312161321 - 2¹¹ = 153331312159273 is a prime.

It is a super-2 number, since 2×153331312161321² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153331312161311) 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 23 ways as a sum of consecutive naturals, for example, 20383356 + ... + 26872733.

It is an arithmetic number, because the mean of its divisors is an integer number (10546803190560).

Almost surely, 2^{153331312161321} is an apocalyptic number.

It is an amenable number.

153331312161321 is a deficient number, since it is larger than the sum of its proper divisors (99791964412119).

153331312161321 is a wasteful number, since it uses less digits than its factorization.

153331312161321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47307605 (or 47307602 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

Adding to 153331312161321 its reverse (123161213133351), we get a palindrome (276492525294672).

The spelling of 153331312161321 in words is "one hundred fifty-three trillion, three hundred thirty-one billion, three hundred twelve million, one hundred sixty-one thousand, three hundred twenty-one".