213134040024240 has 80 divisors (see below), whose sum is σ = 666777134469600. Its totient is φ = 56314315155456.

The previous prime is 213134040024229. The next prime is 213134040024259. The reversal of 213134040024240 is 42420040431312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×213134040024240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 213134040024198 and 213134040024207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4073636685 + ... + 4073689004.

It is an arithmetic number, because the mean of its divisors is an integer number (8334714180870).

Almost surely, 2^{213134040024240} is an apocalyptic number.

213134040024240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213134040024240 is an abundant number, since it is smaller than the sum of its proper divisors (453643094445360).

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

213134040024240 is a wasteful number, since it uses less digits than its factorization.

213134040024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147325814 (or 8147325808 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 213134040024240 its reverse (42420040431312), we get a palindrome (255554080455552).

The spelling of 213134040024240 in words is "two hundred thirteen trillion, one hundred thirty-four billion, forty million, twenty-four thousand, two hundred forty".