13220588270700 has 432 divisors, whose sum is σ = 44430912489600. Its totient is φ = 3278046412800.

The previous prime is 13220588270693. The next prime is 13220588270707. The reversal of 13220588270700 is 707288502231.

13220588270700 is a `hidden beast` number, since 1 + 32 + 205 + 88 + 270 + 70 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13220588270693) and next prime (13220588270707).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13220588270707) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 646694679 + ... + 646715121.

Almost surely, 2^{13220588270700} is an apocalyptic number.

13220588270700 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 13220588270700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22215456244800).

13220588270700 is an abundant number, since it is smaller than the sum of its proper divisors (31210324218900).

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

13220588270700 is a wasteful number, since it uses less digits than its factorization.

13220588270700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21182 (or 21172 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 13220588270700 in words is "thirteen trillion, two hundred twenty billion, five hundred eighty-eight million, two hundred seventy thousand, seven hundred".