13105512314100 has 108 divisors (see below), whose sum is σ = 41095935215244. Its totient is φ = 3493319984640.

The previous prime is 13105512314099. The next prime is 13105512314101. The reversal of 13105512314100 is 141321550131.

13105512314100 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 512 + 3 + 141 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13105512314099) and next prime (13105512314101).

It can be written as a sum of positive squares in 6 ways, for example, as 2664716700816 + 10440795613284 = 1632396^2 + 3231222^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105512314101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 967729 + ... + 5210328.

Almost surely, 2^{13105512314100} is an apocalyptic number.

13105512314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13105512314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20547967607622).

13105512314100 is an abundant number, since it is smaller than the sum of its proper divisors (27990422901144).

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

13105512314100 is a wasteful number, since it uses less digits than its factorization.

13105512314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180434 (or 6180424 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 13105512314100 its reverse (141321550131), we get a palindrome (13246833864231).

The spelling of 13105512314100 in words is "thirteen trillion, one hundred five billion, five hundred twelve million, three hundred fourteen thousand, one hundred".