73163003013100 has 288 divisors, whose sum is σ = 215157500038656. Its totient is φ = 20853163929600.

The previous prime is 73163003013077. The next prime is 73163003013263. The reversal of 73163003013100 is 131030036137.

It is a super-2 number, since 2×73163003013100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7295284 + ... + 14126116.

It is an arithmetic number, because the mean of its divisors is an integer number (747074652912).

Almost surely, 2^{73163003013100} is an apocalyptic number.

73163003013100 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 73163003013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107578750019328).

73163003013100 is an abundant number, since it is smaller than the sum of its proper divisors (141994497025556).

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

73163003013100 is a wasteful number, since it uses less digits than its factorization.

73163003013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830985 (or 6830978 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 28.

Adding to 73163003013100 its reverse (131030036137), we get a palindrome (73294033049237).

The spelling of 73163003013100 in words is "seventy-three trillion, one hundred sixty-three billion, three million, thirteen thousand, one hundred".