213040200310000 has 300 divisors, whose sum is σ = 600464784474192. Its totient is φ = 72986078592000.

The previous prime is 213040200309929. The next prime is 213040200310033. The reversal of 213040200310000 is 13002040312.

It is a happy number.

It is a super-2 number, since 2×213040200310000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 638303164 + ... + 638636836.

Almost surely, 2^{213040200310000} is an apocalyptic number.

213040200310000 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 213040200310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300232392237096).

213040200310000 is an abundant number, since it is smaller than the sum of its proper divisors (387424584164192).

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

213040200310000 is a wasteful number, since it uses less digits than its factorization.

213040200310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335018 (or 334990 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 213040200310000 its reverse (13002040312), we get a palindrome (213053202350312).

The spelling of 213040200310000 in words is "two hundred thirteen trillion, forty billion, two hundred million, three hundred ten thousand".