213200114240 has 112 divisors (see below), whose sum is σ = 532652289024. Its totient is φ = 81175910400.

The previous prime is 213200114203. The next prime is 213200114249. The reversal of 213200114240 is 42411002312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (213200114249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428957 + ... + 781283.

Almost surely, 2^213200114240 is an apocalyptic number.

213200114240 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 213200114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266326144512).

213200114240 is an abundant number, since it is smaller than the sum of its proper divisors (319452174784).

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

213200114240 is a wasteful number, since it uses less digits than its factorization.

213200114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352436 (or 352426 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 213200114240 its reverse (42411002312), we get a palindrome (255611116552).

The spelling of 213200114240 in words is "two hundred thirteen billion, two hundred million, one hundred fourteen thousand, two hundred forty".