13140333121428 has 18 divisors (see below), whose sum is σ = 33215842057034. Its totient is φ = 4380111040464.

The previous prime is 13140333121427. The next prime is 13140333121457. The reversal of 13140333121428 is 82412133304131.

13140333121428 is a `hidden beast` number, since 1 + 3 + 1 + 403 + 3 + 31 + 214 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8283413560464 + 4856919560964 = 2878092^2 + 2203842^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 365009253373 = 13140333121428 / (1 + 3 + 1 + 4 + 0 + 3 + 3 + 3 + 1 + 2 + 1 + 4 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 13140333121392 and 13140333121401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140333121427) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 182504626651 + ... + 182504626722.

Almost surely, 2^{13140333121428} is an apocalyptic number.

13140333121428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13140333121428 is an abundant number, since it is smaller than the sum of its proper divisors (20075508935606).

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

13140333121428 is a wasteful number, since it uses less digits than its factorization.

13140333121428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365009253383 (or 365009253378 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 13140333121428 its reverse (82412133304131), we get a palindrome (95552466425559).

The spelling of 13140333121428 in words is "thirteen trillion, one hundred forty billion, three hundred thirty-three million, one hundred twenty-one thousand, four hundred twenty-eight".