13211022000 has 480 divisors, whose sum is σ = 48408901632. Its totient is φ = 3094080000.

The previous prime is 13211021983. The next prime is 13211022001. The reversal of 13211022000 is 22011231.

It is a super-2 number, since 2×13211022000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13211022001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22505707 + ... + 22506293.

Almost surely, 2^13211022000 is an apocalyptic number.

13211022000 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 13211022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24204450816).

13211022000 is an abundant number, since it is smaller than the sum of its proper divisors (35197879632).

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

13211022000 is a wasteful number, since it uses less digits than its factorization.

13211022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13211022000 its reverse (22011231), we get a palindrome (13233033231).

The spelling of 13211022000 in words is "thirteen billion, two hundred eleven million, twenty-two thousand".