73131123211133 has 8 divisors (see below), whose sum is σ = 78840646102008. Its totient is φ = 67433607730944.

The previous prime is 73131123211109. The next prime is 73131123211141. The reversal of 73131123211133 is 33111232113137.

It can be written as a sum of positive squares in 4 ways, for example, as 13500943455769 + 59630179755364 = 3674363^2 + 7722058^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 73131123211133 - 2⁴⁰ = 72031611583357 is a prime.

It is a super-2 number, since 2×73131123211133² (a number of 29 digits) contains 22 as substring.

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 73131123211133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73131123211033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3001840016 + ... + 3001864377.

It is an arithmetic number, because the mean of its divisors is an integer number (9855080762751).

Almost surely, 2^{73131123211133} is an apocalyptic number.

It is an amenable number.

73131123211133 is a deficient number, since it is larger than the sum of its proper divisors (5709522890875).

73131123211133 is a wasteful number, since it uses less digits than its factorization.

73131123211133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6003705343.

The product of its digits is 6804, while the sum is 32.

The spelling of 73131123211133 in words is "seventy-three trillion, one hundred thirty-one billion, one hundred twenty-three million, two hundred eleven thousand, one hundred thirty-three".