213152242401 has 24 divisors (see below), whose sum is σ = 351893752704. Its totient is φ = 121793186880.

The previous prime is 213152242361. The next prime is 213152242517. The reversal of 213152242401 is 104242251312.

213152242401 is a `hidden beast` number, since 2 + 1 + 3 + 15 + 2 + 242 + 401 = 666.

It is not a de Polignac number, because 213152242401 - 2¹⁰ = 213152241377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213152242201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 917356 + ... + 1125986.

It is an arithmetic number, because the mean of its divisors is an integer number (14662239696).

Almost surely, 2^213152242401 is an apocalyptic number.

213152242401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213152242401 is a deficient number, since it is larger than the sum of its proper divisors (138741510303).

213152242401 is a wasteful number, since it uses less digits than its factorization.

213152242401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224861 (or 224858 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 213152242401 its reverse (104242251312), we get a palindrome (317394493713).

The spelling of 213152242401 in words is "two hundred thirteen billion, one hundred fifty-two million, two hundred forty-two thousand, four hundred one".