13140330100020 has 72 divisors (see below), whose sum is σ = 39859321732776. Its totient is φ = 3504059857152.

The previous prime is 13140330099997. The next prime is 13140330100049. The reversal of 13140330100020 is 2000103304131.

13140330100020 is a `hidden beast` number, since 1 + 314 + 0 + 330 + 1 + 0 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71324248356 + 13069005851664 = 267066^2 + 3615108^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13140330099966 and 13140330100002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32011194 + ... + 32419086.

It is an arithmetic number, because the mean of its divisors is an integer number (553601690733).

Almost surely, 2^{13140330100020} is an apocalyptic number.

13140330100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140330100020 is an abundant number, since it is smaller than the sum of its proper divisors (26718991632756).

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

13140330100020 is a wasteful number, since it uses less digits than its factorization.

13140330100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586881 (or 586876 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13140330100020 its reverse (2000103304131), we get a palindrome (15140433404151).

The spelling of 13140330100020 in words is "thirteen trillion, one hundred forty billion, three hundred thirty million, one hundred thousand, twenty".