213344001302040 has 96 divisors (see below), whose sum is σ = 792420576274080. Its totient is φ = 48764343154176.

The previous prime is 213344001301993. The next prime is 213344001302077. The reversal of 213344001302040 is 40203100443312.

213344001302040 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 440 + 0 + 13 + 0 + 204 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 213344001301995 and 213344001302013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42330156469 + ... + 42330161508.

It is an arithmetic number, because the mean of its divisors is an integer number (8254381002855).

Almost surely, 2^{213344001302040} is an apocalyptic number.

213344001302040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213344001302040 is an abundant number, since it is smaller than the sum of its proper divisors (579076574972040).

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

213344001302040 is a wasteful number, since it uses less digits than its factorization.

213344001302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84660318001 (or 84660317994 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 213344001302040 its reverse (40203100443312), we get a palindrome (253547101745352).

The spelling of 213344001302040 in words is "two hundred thirteen trillion, three hundred forty-four billion, one million, three hundred two thousand, forty".