13332102142240 has 384 divisors, whose sum is σ = 38839330897920. Its totient is φ = 4224033792000.

The previous prime is 13332102142237. The next prime is 13332102142241. The reversal of 13332102142240 is 4224120123331.

It is a super-2 number, since 2×13332102142240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13332102142199 and 13332102142208.

It is not an unprimeable number, because it can be changed into a prime (13332102142241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 479920671 + ... + 479948449.

It is an arithmetic number, because the mean of its divisors is an integer number (101144090880).

Almost surely, 2^{13332102142240} is an apocalyptic number.

13332102142240 is a gapful number since it is divisible by the number (10) 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 13332102142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19419665448960).

13332102142240 is an abundant number, since it is smaller than the sum of its proper divisors (25507228755680).

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

13332102142240 is a wasteful number, since it uses less digits than its factorization.

13332102142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28456 (or 28448 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13332102142240 its reverse (4224120123331), we get a palindrome (17556222265571).

The spelling of 13332102142240 in words is "thirteen trillion, three hundred thirty-two billion, one hundred two million, one hundred forty-two thousand, two hundred forty".