213141432 has 128 divisors (see below), whose sum is σ = 627056640. Its totient is φ = 59122560.

The previous prime is 213141421. The next prime is 213141443. The reversal of 213141432 is 234141312.

213141432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213141421) and next prime (213141443).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213141399 and 213141408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1276213 + ... + 1276379.

It is an arithmetic number, because the mean of its divisors is an integer number (4898880).

Almost surely, 2^213141432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213141432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313528320).

213141432 is an abundant number, since it is smaller than the sum of its proper divisors (413915208).

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

213141432 is a wasteful number, since it uses less digits than its factorization.

213141432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 357 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 213141432 is about 14599.3640957406. The cubic root of 213141432 is about 597.3414150537.

Adding to 213141432 its reverse (234141312), we get a palindrome (447282744).

The spelling of 213141432 in words is "two hundred thirteen million, one hundred forty-one thousand, four hundred thirty-two".