13105403311410 has 96 divisors (see below), whose sum is σ = 35361795792960. Its totient is φ = 3492227971008.

The previous prime is 13105403311321. The next prime is 13105403311411. The reversal of 13105403311410 is 1411330450131.

13105403311410 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 540 + 3 + 3 + 114 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13105403311411) 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, 1372381 + ... + 5300399.

It is an arithmetic number, because the mean of its divisors is an integer number (368352039510).

Almost surely, 2^{13105403311410} is an apocalyptic number.

13105403311410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13105403311410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17680897896480).

13105403311410 is an abundant number, since it is smaller than the sum of its proper divisors (22256392481550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13105403311410 is a wasteful number, since it uses less digits than its factorization.

13105403311410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929414 (or 3929402 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13105403311410 its reverse (1411330450131), we get a palindrome (14516733761541).

The spelling of 13105403311410 in words is "thirteen trillion, one hundred five billion, four hundred three million, three hundred eleven thousand, four hundred ten".