213132012442344 has 24 divisors (see below), whose sum is σ = 577232533698210. Its totient is φ = 71044004147424.

The previous prime is 213132012442289. The next prime is 213132012442403. The reversal of 213132012442344 is 443244210231312.

213132012442344 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 201 + 2 + 442 + 3 + 4 + 4 = 666.

213132012442344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 209617174898244 + 3514837544100 = 14478162^2 + 1874790^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213132012442299 and 213132012442308.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1480083419667 + ... + 1480083419810.

Almost surely, 2^{213132012442344} is an apocalyptic number.

213132012442344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213132012442344 is an abundant number, since it is smaller than the sum of its proper divisors (364100521255866).

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

213132012442344 is a wasteful number, since it uses less digits than its factorization.

213132012442344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960166839489 (or 2960166839482 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 213132012442344 its reverse (443244210231312), we get a palindrome (656376222673656).

The spelling of 213132012442344 in words is "two hundred thirteen trillion, one hundred thirty-two billion, twelve million, four hundred forty-two thousand, three hundred forty-four".