213011211210000 has 400 divisors, whose sum is σ = 802581736433664. Its totient is φ = 47652353856000.

The previous prime is 213011211209977. The next prime is 213011211210137. The reversal of 213011211210000 is 12112110312.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×213011211210000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 920842 + ... + 20660841.

Almost surely, 2^{213011211210000} is an apocalyptic number.

213011211210000 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 213011211210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401290868216832).

213011211210000 is an abundant number, since it is smaller than the sum of its proper divisors (589570525223664).

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

213011211210000 is a wasteful number, since it uses less digits than its factorization.

213011211210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21581768 (or 21581747 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 213011211210000 its reverse (12112110312), we get a palindrome (213023323320312).

The spelling of 213011211210000 in words is "two hundred thirteen trillion, eleven billion, two hundred eleven million, two hundred ten thousand".