73121331001 has 2 divisors, whose sum is σ = 73121331002. Its totient is φ = 73121331000.

The previous prime is 73121330963. The next prime is 73121331011. The reversal of 73121331001 is 10013312137.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57684510976 + 15436820025 = 240176^2 + 124245^2 .

It is a cyclic number.

It is not a de Polignac number, because 73121331001 - 2²⁹ = 72584460089 is a prime.

It is a super-3 number, since 3×73121331001³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (73121331011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36560665500 + 36560665501.

It is an arithmetic number, because the mean of its divisors is an integer number (36560665501).

Almost surely, 2^73121331001 is an apocalyptic number.

It is an amenable number.

73121331001 is a deficient number, since it is larger than the sum of its proper divisors (1).

73121331001 is an equidigital number, since it uses as much as digits as its factorization.

73121331001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 22.

Adding to 73121331001 its reverse (10013312137), we get a palindrome (83134643138).

The spelling of 73121331001 in words is "seventy-three billion, one hundred twenty-one million, three hundred thirty-one thousand, one".