100713180673 has 16 divisors (see below), whose sum is σ = 115405920000. Its totient is φ = 86097016512.

The previous prime is 100713180637. The next prime is 100713180677. The reversal of 100713180673 is 376081317001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100713180673 - 2¹⁷ = 100713049601 is a prime.

It is a super-2 number, since 2×100713180673² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100713180677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4471083 + ... + 4493551.

It is an arithmetic number, because the mean of its divisors is an integer number (7212870000).

Almost surely, 2^100713180673 is an apocalyptic number.

It is an amenable number.

100713180673 is a deficient number, since it is larger than the sum of its proper divisors (14692739327).

100713180673 is a wasteful number, since it uses less digits than its factorization.

100713180673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24144.

The product of its (nonzero) digits is 21168, while the sum is 37.

Adding to 100713180673 its reverse (376081317001), we get a palindrome (476794497674).

The spelling of 100713180673 in words is "one hundred billion, seven hundred thirteen million, one hundred eighty thousand, six hundred seventy-three".