213242400131100 has 72 divisors (see below), whose sum is σ = 617277544625280. Its totient is φ = 56837340473280.

The previous prime is 213242400131083. The next prime is 213242400131107. The reversal of 213242400131100 is 1131004242312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213242400131107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169996320 + ... + 171246119.

Almost surely, 2^{213242400131100} is an apocalyptic number.

213242400131100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213242400131100 is an abundant number, since it is smaller than the sum of its proper divisors (404035144494180).

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

213242400131100 is a wasteful number, since it uses less digits than its factorization.

213242400131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341244539 (or 341244532 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 213242400131100 its reverse (1131004242312), we get a palindrome (214373404373412).

The spelling of 213242400131100 in words is "two hundred thirteen trillion, two hundred forty-two billion, four hundred million, one hundred thirty-one thousand, one hundred".