213031121000 has 128 divisors (see below), whose sum is σ = 511252560000. Its totient is φ = 83036224000.

The previous prime is 213031120993. The next prime is 213031121087. The reversal of 213031121000 is 121130312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41776451 + ... + 41781549.

It is an arithmetic number, because the mean of its divisors is an integer number (3994160625).

Almost surely, 2^213031121000 is an apocalyptic number.

213031121000 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 213031121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255626280000).

213031121000 is an abundant number, since it is smaller than the sum of its proper divisors (298221439000).

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

213031121000 is a wasteful number, since it uses less digits than its factorization.

213031121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180 (or 6166 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 213031121000 its reverse (121130312), we get a palindrome (213152251312).

The spelling of 213031121000 in words is "two hundred thirteen billion, thirty-one million, one hundred twenty-one thousand".