213032142000 has 240 divisors, whose sum is σ = 783212058720. Its totient is φ = 53818560000.

The previous prime is 213032141977. The next prime is 213032142013. The reversal of 213032142000 is 241230312.

213032142000 is a `hidden beast` number, since 213 + 0 + 32 + 1 + 420 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30550 + ... + 653450.

It is an arithmetic number, because the mean of its divisors is an integer number (3263383578).

Almost surely, 2^213032142000 is an apocalyptic number.

213032142000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213032142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391606029360).

213032142000 is an abundant number, since it is smaller than the sum of its proper divisors (570179916720).

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

213032142000 is a wasteful number, since it uses less digits than its factorization.

213032142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622949 (or 622930 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213032142000 its reverse (241230312), we get a palindrome (213273372312).

The spelling of 213032142000 in words is "two hundred thirteen billion, thirty-two million, one hundred forty-two thousand".