13105001442312 has 48 divisors (see below), whose sum is σ = 38222920876140. Its totient is φ = 4032308135808.

The previous prime is 13105001442301. The next prime is 13105001442347. The reversal of 13105001442312 is 21324410050131.

13105001442312 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 500 + 144 + 2 + 3 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12830766984036 + 274234458276 = 3582006^2 + 523674^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7000534023 + ... + 7000535894.

Almost surely, 2^{13105001442312} is an apocalyptic number.

13105001442312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13105001442312 is an abundant number, since it is smaller than the sum of its proper divisors (25117919433828).

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

13105001442312 is a wasteful number, since it uses less digits than its factorization.

13105001442312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14001069942 (or 14001069935 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13105001442312 its reverse (21324410050131), we get a palindrome (34429411492443).

The spelling of 13105001442312 in words is "thirteen trillion, one hundred five billion, one million, four hundred forty-two thousand, three hundred twelve".