73310133120 has 256 divisors, whose sum is σ = 269427271680. Its totient is φ = 16607969280.

The previous prime is 73310133109. The next prime is 73310133133. The reversal of 73310133120 is 2133101337.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1494585 + ... + 1542855.

It is an arithmetic number, because the mean of its divisors is an integer number (1052450280).

Almost surely, 2^73310133120 is an apocalyptic number.

73310133120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73310133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134713635840).

73310133120 is an abundant number, since it is smaller than the sum of its proper divisors (196117138560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73310133120 is a wasteful number, since it uses less digits than its factorization.

73310133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48413 (or 48401 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

Adding to 73310133120 its reverse (2133101337), we get a palindrome (75443234457).

The spelling of 73310133120 in words is "seventy-three billion, three hundred ten million, one hundred thirty-three thousand, one hundred twenty".