13021311300020 has 24 divisors (see below), whose sum is σ = 27355811154504. Its totient is φ = 5206418343936.

The previous prime is 13021311299993. The next prime is 13021311300047. The reversal of 13021311300020 is 2000311312031.

It is an interprime number because it is at equal distance from previous prime (13021311299993) and next prime (13021311300047).

It can be written as a sum of positive squares in 4 ways, for example, as 60936897316 + 12960374402704 = 246854^2 + 3600052^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 131585309 + ... + 131684228.

It is an arithmetic number, because the mean of its divisors is an integer number (1139825464771).

Almost surely, 2^{13021311300020} is an apocalyptic number.

13021311300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13021311300020 is an abundant number, since it is smaller than the sum of its proper divisors (14334499854484).

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

13021311300020 is a wasteful number, since it uses less digits than its factorization.

13021311300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263272019 (or 263272017 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13021311300020 its reverse (2000311312031), we get a palindrome (15021622612051).

The spelling of 13021311300020 in words is "thirteen trillion, twenty-one billion, three hundred eleven million, three hundred thousand, twenty".