213129441 has 32 divisors (see below), whose sum is σ = 379852800. Its totient is φ = 115376400.

The previous prime is 213129437. The next prime is 213129461. The reversal of 213129441 is 144921312.

It is a happy number.

213129441 is a `hidden beast` number, since 213 + 1 + 2 + 9 + 441 = 666.

It is not a de Polignac number, because 213129441 - 2² = 213129437 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213129401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26085 + ... + 33266.

It is an arithmetic number, because the mean of its divisors is an integer number (11870400).

Almost surely, 2^213129441 is an apocalyptic number.

213129441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213129441 is a deficient number, since it is larger than the sum of its proper divisors (166723359).

213129441 is a wasteful number, since it uses less digits than its factorization.

213129441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59386 (or 59380 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 213129441 is about 14598.9534213929. The cubic root of 213129441 is about 597.3302130158.

The spelling of 213129441 in words is "two hundred thirteen million, one hundred twenty-nine thousand, four hundred forty-one".