13032100301220 has 1152 divisors, whose sum is σ = 54598213942272. Its totient is φ = 2428202188800.

The previous prime is 13032100301201. The next prime is 13032100301249. The reversal of 13032100301220 is 2210300123031.

13032100301220 is a `hidden beast` number, since 1 + 303 + 210 + 0 + 30 + 122 + 0 = 666.

13032100301220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13032100301220² (a number of 27 digits) contains 22 as substring.

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 = 13032100301193 and 13032100301202.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5713326480 + ... + 5713328760.

It is an arithmetic number, because the mean of its divisors is an integer number (47394282936).

Almost surely, 2^{13032100301220} is an apocalyptic number.

13032100301220 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 13032100301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27299106971136).

13032100301220 is an abundant number, since it is smaller than the sum of its proper divisors (41566113641052).

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

13032100301220 is a wasteful number, since it uses less digits than its factorization.

13032100301220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3216 counting only the distinct ones).

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

Adding to 13032100301220 its reverse (2210300123031), we get a palindrome (15242400424251).

The spelling of 13032100301220 in words is "thirteen trillion, thirty-two billion, one hundred million, three hundred one thousand, two hundred twenty".