213461312000 has 160 divisors (see below), whose sum is σ = 533245428144. Its totient is φ = 85229568000.

The previous prime is 213461311991. The next prime is 213461312003. The reversal of 213461312000 is 213164312.

It can be written as a sum of positive squares in 8 ways, for example, as 932935936 + 212528376064 = 30544^2 + 461008^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×213461312000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213461312003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39229280 + ... + 39234720.

Almost surely, 2^213461312000 is an apocalyptic number.

213461312000 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 213461312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266622714072).

213461312000 is an abundant number, since it is smaller than the sum of its proper divisors (319784116144).

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

213461312000 is an frugal number, since it uses more digits than its factorization.

213461312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 213461312000 its reverse (213164312), we get a palindrome (213674476312).

The spelling of 213461312000 in words is "two hundred thirteen billion, four hundred sixty-one million, three hundred twelve thousand".