10413132134220 has 144 divisors (see below), whose sum is σ = 31768565381280. Its totient is φ = 2760871680000.

The previous prime is 10413132134189. The next prime is 10413132134221. The reversal of 10413132134220 is 2243123131401.

10413132134220 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 313 + 2 + 1 + 342 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (10413132134221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23555220 + ... + 23993220.

It is an arithmetic number, because the mean of its divisors is an integer number (220615037370).

Almost surely, 2^{10413132134220} is an apocalyptic number.

10413132134220 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 10413132134220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15884282690640).

10413132134220 is an abundant number, since it is smaller than the sum of its proper divisors (21355433247060).

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

10413132134220 is a wasteful number, since it uses less digits than its factorization.

10413132134220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438776 (or 438771 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10413132134220 its reverse (2243123131401), we get a palindrome (12656255265621).

The spelling of 10413132134220 in words is "ten trillion, four hundred thirteen billion, one hundred thirty-two million, one hundred thirty-four thousand, two hundred twenty".