13505121144 has 32 divisors (see below), whose sum is σ = 37514226000. Its totient is φ = 4501706976.

The previous prime is 13505121121. The next prime is 13505121167. The reversal of 13505121144 is 44112150531.

13505121144 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 512 + 1 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (13505121121) and next prime (13505121167).

It is a super-2 number, since 2×13505121144² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31261639 + ... + 31262070.

Almost surely, 2^13505121144 is an apocalyptic number.

It is an amenable number.

13505121144 is an abundant number, since it is smaller than the sum of its proper divisors (24009104856).

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

13505121144 is a wasteful number, since it uses less digits than its factorization.

13505121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62523724 (or 62523714 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 13505121144 its reverse (44112150531), we get a palindrome (57617271675).

The spelling of 13505121144 in words is "thirteen billion, five hundred five million, one hundred twenty-one thousand, one hundred forty-four".