13531152141 has 60 divisors (see below), whose sum is σ = 22422444660. Its totient is φ = 8123431680.

The previous prime is 13531152133. The next prime is 13531152179. The reversal of 13531152141 is 14125113531.

13531152141 is a `hidden beast` number, since 135 + 3 + 1 + 1 + 521 + 4 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4412812041 + 9118340100 = 66429^2 + 95490^2 .

It is not a de Polignac number, because 13531152141 - 2³ = 13531152133 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531152101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 549195 + ... + 573303.

It is an arithmetic number, because the mean of its divisors is an integer number (373707411).

Almost surely, 2^13531152141 is an apocalyptic number.

It is an amenable number.

13531152141 is a deficient number, since it is larger than the sum of its proper divisors (8891292519).

13531152141 is a wasteful number, since it uses less digits than its factorization.

13531152141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24188 (or 24166 counting only the distinct ones).

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

Adding to 13531152141 its reverse (14125113531), we get a palindrome (27656265672).

The spelling of 13531152141 in words is "thirteen billion, five hundred thirty-one million, one hundred fifty-two thousand, one hundred forty-one".