13542513115032 has 192 divisors, whose sum is σ = 41480941740000. Its totient is φ = 4090678225920.

The previous prime is 13542513115013. The next prime is 13542513115051. The reversal of 13542513115032 is 23051131524531.

It is a happy number.

13542513115032 is a `hidden beast` number, since 1 + 3 + 54 + 2 + 513 + 11 + 50 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (13542513115013) and next prime (13542513115051).

It is a super-2 number, since 2×13542513115032² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7352844 + ... + 9008292.

Almost surely, 2^{13542513115032} is an apocalyptic number.

13542513115032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13542513115032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20740470870000).

13542513115032 is an abundant number, since it is smaller than the sum of its proper divisors (27938428624968).

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

13542513115032 is a wasteful number, since it uses less digits than its factorization.

13542513115032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655799 (or 1655778 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 13542513115032 its reverse (23051131524531), we get a palindrome (36593644639563).

The spelling of 13542513115032 in words is "thirteen trillion, five hundred forty-two billion, five hundred thirteen million, one hundred fifteen thousand, thirty-two".