213002414401 has 12 divisors (see below), whose sum is σ = 247948930452. Its totient is φ = 182447784288.

The previous prime is 213002414393. The next prime is 213002414411. The reversal of 213002414401 is 104414200312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 175695105600 + 37307308801 = 419160^2 + 193151^2 .

It is not a de Polignac number, because 213002414401 - 2³ = 213002414393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213002414411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1424670 + ... + 1567063.

It is an arithmetic number, because the mean of its divisors is an integer number (20662410871).

Almost surely, 2^213002414401 is an apocalyptic number.

It is an amenable number.

213002414401 is a deficient number, since it is larger than the sum of its proper divisors (34946516051).

213002414401 is a wasteful number, since it uses less digits than its factorization.

213002414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993200 (or 2993193 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 213002414401 its reverse (104414200312), we get a palindrome (317416614713).

The spelling of 213002414401 in words is "two hundred thirteen billion, two million, four hundred fourteen thousand, four hundred one".