213132132131200 has 384 divisors, whose sum is σ = 536969997390240. Its totient is φ = 83568156672000.

The previous prime is 213132132131183. The next prime is 213132132131227. The reversal of 213132132131200 is 2131231231312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96309141294 + ... + 96309143506.

Almost surely, 2^{213132132131200} is an apocalyptic number.

213132132131200 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 213132132131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268484998695120).

213132132131200 is an abundant number, since it is smaller than the sum of its proper divisors (323837865259040).

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

213132132131200 is a wasteful number, since it uses less digits than its factorization.

213132132131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 213132132131200 its reverse (2131231231312), we get a palindrome (215263363362512).

The spelling of 213132132131200 in words is "two hundred thirteen trillion, one hundred thirty-two billion, one hundred thirty-two million, one hundred thirty-one thousand, two hundred".