100105430351213 has 16 divisors (see below), whose sum is σ = 115230594877440. Its totient is φ = 85186377187056.

The previous prime is 100105430351207. The next prime is 100105430351243. The reversal of 100105430351213 is 312153034501001.

It is a cyclic number.

It is not a de Polignac number, because 100105430351213 - 2²⁶ = 100105363242349 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105430351243) 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, 91626320 + ... + 92712422.

It is an arithmetic number, because the mean of its divisors is an integer number (7201912179840).

Almost surely, 2^{100105430351213} is an apocalyptic number.

It is an amenable number.

100105430351213 is a deficient number, since it is larger than the sum of its proper divisors (15125164526227).

100105430351213 is a wasteful number, since it uses less digits than its factorization.

100105430351213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180976.

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 100105430351213 its reverse (312153034501001), we get a palindrome (412258464852214).

The spelling of 100105430351213 in words is "one hundred trillion, one hundred five billion, four hundred thirty million, three hundred fifty-one thousand, two hundred thirteen".