13270713364020 has 288 divisors, whose sum is σ = 43461573079680. Its totient is φ = 3016706595840.

The previous prime is 13270713364019. The next prime is 13270713364037. The reversal of 13270713364020 is 2046331707231.

It is a super-2 number, since 2×13270713364020² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13270713364020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 633527187 + ... + 633548133.

It is an arithmetic number, because the mean of its divisors is an integer number (150908239860).

Almost surely, 2^{13270713364020} is an apocalyptic number.

13270713364020 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 13270713364020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21730786539840).

13270713364020 is an abundant number, since it is smaller than the sum of its proper divisors (30190859715660).

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

13270713364020 is a wasteful number, since it uses less digits than its factorization.

13270713364020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22143 (or 22134 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 13270713364020 in words is "thirteen trillion, two hundred seventy billion, seven hundred thirteen million, three hundred sixty-four thousand, twenty".