100435345415413 has 2 divisors, whose sum is σ = 100435345415414. Its totient is φ = 100435345415412.

The previous prime is 100435345415399. The next prime is 100435345415429. The reversal of 100435345415413 is 314514543534001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54521196519409 + 45914148896004 = 7383847^2 + 6775998^2 .

It is a cyclic number.

It is not a de Polignac number, because 100435345415413 - 2²⁵ = 100435311860981 is a prime.

It is a super-2 number, since 2×100435345415413² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100435345415413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100435340415413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50217672707706 + 50217672707707.

It is an arithmetic number, because the mean of its divisors is an integer number (50217672707707).

Almost surely, 2^{100435345415413} is an apocalyptic number.

It is an amenable number.

100435345415413 is a deficient number, since it is larger than the sum of its proper divisors (1).

100435345415413 is an equidigital number, since it uses as much as digits as its factorization.

100435345415413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864000, while the sum is 43.

Adding to 100435345415413 its reverse (314514543534001), we get a palindrome (414949888949414).

The spelling of 100435345415413 in words is "one hundred trillion, four hundred thirty-five billion, three hundred forty-five million, four hundred fifteen thousand, four hundred thirteen".