105202411345213 has 48 divisors (see below), whose sum is σ = 132405776326656. Its totient is φ = 82849573094400.

The previous prime is 105202411345189. The next prime is 105202411345217. The reversal of 105202411345213 is 312543114202501.

It is not a de Polignac number, because 105202411345213 - 2³³ = 105193821410621 is a prime.

It is a super-2 number, since 2×105202411345213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105202411345217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868297188 + ... + 868418338.

It is an arithmetic number, because the mean of its divisors is an integer number (2758453673472).

Almost surely, 2^{105202411345213} is an apocalyptic number.

105202411345213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105202411345213 is a deficient number, since it is larger than the sum of its proper divisors (27203364981443).

105202411345213 is a wasteful number, since it uses less digits than its factorization.

105202411345213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127514 (or 127507 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 105202411345213 its reverse (312543114202501), we get a palindrome (417745525547714).

The spelling of 105202411345213 in words is "one hundred five trillion, two hundred two billion, four hundred eleven million, three hundred forty-five thousand, two hundred thirteen".