13144114121229 has 128 divisors (see below), whose sum is σ = 24249482772480. Its totient is φ = 6851770083072.

The previous prime is 13144114121221. The next prime is 13144114121287. The reversal of 13144114121229 is 92212141144131.

13144114121229 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 11 + 412 + 1 + 229 = 666.

It is not a de Polignac number, because 13144114121229 - 2³ = 13144114121221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13144114121193 and 13144114121202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144114121221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70892604 + ... + 71077770.

It is an arithmetic number, because the mean of its divisors is an integer number (189449084160).

Almost surely, 2^{13144114121229} is an apocalyptic number.

It is an amenable number.

13144114121229 is a deficient number, since it is larger than the sum of its proper divisors (11105368651251).

13144114121229 is a wasteful number, since it uses less digits than its factorization.

13144114121229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185536 (or 185530 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 13144114121229 in words is "thirteen trillion, one hundred forty-four billion, one hundred fourteen million, one hundred twenty-one thousand, two hundred twenty-nine".