100435345413413 has 16 divisors (see below), whose sum is σ = 101597812093440. Its totient is φ = 99273640283136.

The previous prime is 100435345413373. The next prime is 100435345413451. The reversal of 100435345413413 is 314314543534001.

It is a cyclic number.

It is not a de Polignac number, because 100435345413413 - 2¹² = 100435345409317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100435345415413) 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, 4666408670 + ... + 4666430192.

It is an arithmetic number, because the mean of its divisors is an integer number (6349863255840).

Almost surely, 2^{100435345413413} is an apocalyptic number.

It is an amenable number.

100435345413413 is a deficient number, since it is larger than the sum of its proper divisors (1162466680027).

100435345413413 is an equidigital number, since it uses as much as digits as its factorization.

100435345413413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36716.

The product of its (nonzero) digits is 518400, while the sum is 41.

Adding to 100435345413413 its reverse (314314543534001), we get a palindrome (414749888947414).

The spelling of 100435345413413 in words is "one hundred trillion, four hundred thirty-five billion, three hundred forty-five million, four hundred thirteen thousand, four hundred thirteen".