73121322312137 has 4 divisors (see below), whose sum is σ = 79768715249616. Its totient is φ = 66473929374660.

The previous prime is 73121322312091. The next prime is 73121322312151.

73121322312137 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 73121322312137 - 2⁸ = 73121322311881 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73121322312137.

It is not an unprimeable number, because it can be changed into a prime (73121322312737) 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 3 ways as a sum of consecutive naturals, for example, 3323696468723 + ... + 3323696468744.

It is an arithmetic number, because the mean of its divisors is an integer number (19942178812404).

Almost surely, 2^{73121322312137} is an apocalyptic number.

It is an amenable number.

73121322312137 is a deficient number, since it is larger than the sum of its proper divisors (6647392937479).

73121322312137 is a wasteful number, since it uses less digits than its factorization.

73121322312137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6647392937478.

The product of its digits is 63504, while the sum is 38.

It can be divided in two parts, 7312132 and 2312137, that added together give a palindrome (9624269).

The spelling of 73121322312137 in words is "seventy-three trillion, one hundred twenty-one billion, three hundred twenty-two million, three hundred twelve thousand, one hundred thirty-seven".