213402132012321 has 64 divisors (see below), whose sum is σ = 372953768140800. Its totient is φ = 118061662492800.

The previous prime is 213402132012301. The next prime is 213402132012389. The reversal of 213402132012321 is 123210231204312.

213402132012321 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 0 + 2 + 1 + 320 + 12 + 321 = 666.

It is not a de Polignac number, because 213402132012321 - 2¹¹ = 213402132010273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (213402132012301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104096761 + ... + 106126998.

It is an arithmetic number, because the mean of its divisors is an integer number (5827402627200).

Almost surely, 2^{213402132012321} is an apocalyptic number.

213402132012321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213402132012321 is a deficient number, since it is larger than the sum of its proper divisors (159551636128479).

213402132012321 is a wasteful number, since it uses less digits than its factorization.

213402132012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210223947 (or 210223941 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 213402132012321 its reverse (123210231204312), we get a palindrome (336612363216633).

The spelling of 213402132012321 in words is "two hundred thirteen trillion, four hundred two billion, one hundred thirty-two million, twelve thousand, three hundred twenty-one".