10405344435213 has 32 divisors (see below), whose sum is σ = 17119332921600. Its totient is φ = 5474423932416.

The previous prime is 10405344435203. The next prime is 10405344435253. The reversal of 10405344435213 is 31253444350401.

It is not a de Polignac number, because 10405344435213 - 2¹⁸ = 10405344173069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405344435203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48884568 + ... + 49096961.

It is an arithmetic number, because the mean of its divisors is an integer number (534979153800).

Almost surely, 2^{10405344435213} is an apocalyptic number.

10405344435213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10405344435213 is a deficient number, since it is larger than the sum of its proper divisors (6713988486387).

10405344435213 is a wasteful number, since it uses less digits than its factorization.

10405344435213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97981941.

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 10405344435213 its reverse (31253444350401), we get a palindrome (41658788785614).

The spelling of 10405344435213 in words is "ten trillion, four hundred five billion, three hundred forty-four million, four hundred thirty-five thousand, two hundred thirteen".