100561810011337 has 8 divisors (see below), whose sum is σ = 100666303452936. Its totient is φ = 100457323844352.

The previous prime is 100561810011329. The next prime is 100561810011373. The reversal of 100561810011337 is 733110018165001.

It can be written as a sum of positive squares in 4 ways, for example, as 31744897016121 + 68816912995216 = 5634261^2 + 8295596^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100561810011337 - 2³ = 100561810011329 is a prime.

It is a super-3 number, since 3×100561810011337³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100561810011296 and 100561810011305.

It is not an unprimeable number, because it can be changed into a prime (100561810011037) 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, 26064963 + ... + 29673319.

It is an arithmetic number, because the mean of its divisors is an integer number (12583287931617).

Almost surely, 2^{100561810011337} is an apocalyptic number.

It is an amenable number.

100561810011337 is a deficient number, since it is larger than the sum of its proper divisors (104493441599).

100561810011337 is an equidigital number, since it uses as much as digits as its factorization.

100561810011337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637307.

The product of its (nonzero) digits is 15120, while the sum is 37.

Adding to 100561810011337 its reverse (733110018165001), we get a palindrome (833671828176338).

The spelling of 100561810011337 in words is "one hundred trillion, five hundred sixty-one billion, eight hundred ten million, eleven thousand, three hundred thirty-seven".