213000132133100 has 144 divisors (see below), whose sum is σ = 499124384890656. Its totient is φ = 78431493888000.

The previous prime is 213000132133069. The next prime is 213000132133157. The reversal of 213000132133100 is 1331231000312.

It is a super-2 number, since 2×213000132133100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2586135920 + ... + 2586218280.

Almost surely, 2^{213000132133100} is an apocalyptic number.

213000132133100 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 213000132133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249562192445328).

213000132133100 is an abundant number, since it is smaller than the sum of its proper divisors (286124252757556).

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

213000132133100 is a wasteful number, since it uses less digits than its factorization.

213000132133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87796 (or 87789 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 213000132133100 its reverse (1331231000312), we get a palindrome (214331363133412).

The spelling of 213000132133100 in words is "two hundred thirteen trillion, one hundred thirty-two million, one hundred thirty-three thousand, one hundred".