213010022101320 has 192 divisors, whose sum is σ = 711794521451520. Its totient is φ = 55205153828352.

The previous prime is 213010022101307. The next prime is 213010022101339. The reversal of 213010022101320 is 23101220010312.

213010022101320 is a `hidden beast` number, since 2 + 1 + 30 + 100 + 2 + 210 + 1 + 320 = 666.

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 = 213010022101293 and 213010022101302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2800329 + ... + 20829351.

It is an arithmetic number, because the mean of its divisors is an integer number (3707263132560).

Almost surely, 2^{213010022101320} is an apocalyptic number.

213010022101320 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 213010022101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355897260725760).

213010022101320 is an abundant number, since it is smaller than the sum of its proper divisors (498784499350200).

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

213010022101320 is a wasteful number, since it uses less digits than its factorization.

213010022101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18029964 (or 18029957 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213010022101320 its reverse (23101220010312), we get a palindrome (236111242111632).

The spelling of 213010022101320 in words is "two hundred thirteen trillion, ten billion, twenty-two million, one hundred one thousand, three hundred twenty".