213326801072 has 320 divisors, whose sum is σ = 544038322176. Its totient is φ = 78624000000.

The previous prime is 213326801033. The next prime is 213326801089. The reversal of 213326801072 is 270108623312.

It is a super-2 number, since 2×213326801072² (a number of 23 digits) contains 22 as substring.

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, 409456172 + ... + 409456692.

Almost surely, 2^213326801072 is an apocalyptic number.

213326801072 is a gapful number since it is divisible by the number (22) 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 213326801072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272019161088).

213326801072 is an abundant number, since it is smaller than the sum of its proper divisors (330711521104).

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

213326801072 is a wasteful number, since it uses less digits than its factorization.

213326801072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 213326801072 in words is "two hundred thirteen billion, three hundred twenty-six million, eight hundred one thousand, seventy-two".