13431013035132 has 192 divisors, whose sum is σ = 40779028684800. Its totient is φ = 3336225995520.

The previous prime is 13431013035113. The next prime is 13431013035133. The reversal of 13431013035132 is 23153031013431.

It is a happy number.

13431013035132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13431013035132² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13431013035132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431013035133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110003094 + ... + 110125122.

It is an arithmetic number, because the mean of its divisors is an integer number (212390774400).

Almost surely, 2^{13431013035132} is an apocalyptic number.

13431013035132 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 13431013035132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20389514342400).

13431013035132 is an abundant number, since it is smaller than the sum of its proper divisors (27348015649668).

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

13431013035132 is a wasteful number, since it uses less digits than its factorization.

13431013035132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127256 (or 127254 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 13431013035132 its reverse (23153031013431), we get a palindrome (36584044048563).

The spelling of 13431013035132 in words is "thirteen trillion, four hundred thirty-one billion, thirteen million, thirty-five thousand, one hundred thirty-two".