213220010101000 has 256 divisors, whose sum is σ = 571186503014400. Its totient is φ = 72979036416000.

The previous prime is 213220010100989. The next prime is 213220010101013. The reversal of 213220010101000 is 101010022312.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24847916710 + ... + 24847925290.

It is an arithmetic number, because the mean of its divisors is an integer number (2231197277400).

Almost surely, 2^{213220010101000} is an apocalyptic number.

213220010101000 is a gapful number since it is divisible by the number (20) 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 213220010101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285593251507200).

213220010101000 is an abundant number, since it is smaller than the sum of its proper divisors (357966492913400).

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

213220010101000 is a wasteful number, since it uses less digits than its factorization.

213220010101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14265 (or 14251 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 213220010101000 its reverse (101010022312), we get a palindrome (213321020123312).

The spelling of 213220010101000 in words is "two hundred thirteen trillion, two hundred twenty billion, ten million, one hundred one thousand".