13121413101144 has 48 divisors (see below), whose sum is σ = 36293270289120. Its totient is φ = 4280744698560.

The previous prime is 13121413101133. The next prime is 13121413101163. The reversal of 13121413101144 is 44110131412131.

13121413101144 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 413 + 101 + 144 = 666.

It is a super-3 number, since 3×13121413101144³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1938739687 + ... + 1938746454.

It is an arithmetic number, because the mean of its divisors is an integer number (756109797690).

Almost surely, 2^{13121413101144} is an apocalyptic number.

It is an amenable number.

13121413101144 is an abundant number, since it is smaller than the sum of its proper divisors (23171857187976).

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

13121413101144 is a wasteful number, since it uses less digits than its factorization.

13121413101144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877486200 (or 3877486193 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 13121413101144 its reverse (44110131412131), we get a palindrome (57231544513275).

The spelling of 13121413101144 in words is "thirteen trillion, one hundred twenty-one billion, four hundred thirteen million, one hundred one thousand, one hundred forty-four".