100671561050513 has 16 divisors (see below), whose sum is σ = 102268534528512. Its totient is φ = 99087451680000.

The previous prime is 100671561050507. The next prime is 100671561050527. The reversal of 100671561050513 is 315050165176001.

It is a cyclic number.

It is not a de Polignac number, because 100671561050513 - 2⁴ = 100671561050497 is a prime.

It is a super-2 number, since 2×100671561050513² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100671561050503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15654473 + ... + 21128313.

It is an arithmetic number, because the mean of its divisors is an integer number (6391783408032).

Almost surely, 2^{100671561050513} is an apocalyptic number.

It is an amenable number.

100671561050513 is a deficient number, since it is larger than the sum of its proper divisors (1596973477999).

100671561050513 is a wasteful number, since it uses less digits than its factorization.

100671561050513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475016.

The product of its (nonzero) digits is 94500, while the sum is 41.

The spelling of 100671561050513 in words is "one hundred trillion, six hundred seventy-one billion, five hundred sixty-one million, fifty thousand, five hundred thirteen".