13111142142432 has 24 divisors (see below), whose sum is σ = 34416748124136. Its totient is φ = 4370380714112.

The previous prime is 13111142142407. The next prime is 13111142142437. The reversal of 13111142142432 is 23424124111131.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13111142142432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111142142437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68287198563 + ... + 68287198754.

It is an arithmetic number, because the mean of its divisors is an integer number (1434031171839).

Almost surely, 2^{13111142142432} is an apocalyptic number.

13111142142432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13111142142432 is an abundant number, since it is smaller than the sum of its proper divisors (21305605981704).

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

13111142142432 is a wasteful number, since it uses less digits than its factorization.

13111142142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136574397330 (or 136574397322 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

Adding to 13111142142432 its reverse (23424124111131), we get a palindrome (36535266253563).

The spelling of 13111142142432 in words is "thirteen trillion, one hundred eleven billion, one hundred forty-two million, one hundred forty-two thousand, four hundred thirty-two".