213138969120 has 1728 divisors, whose sum is σ = 988185744000. Its totient is φ = 41246392320.

The previous prime is 213138969107. The next prime is 213138969143. The reversal of 213138969120 is 21969831312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1430462806 + ... + 1430462954.

It is an arithmetic number, because the mean of its divisors is an integer number (571866750).

Almost surely, 2^213138969120 is an apocalyptic number.

213138969120 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 213138969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494092872000).

213138969120 is an abundant number, since it is smaller than the sum of its proper divisors (775046774880).

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

213138969120 is a wasteful number, since it uses less digits than its factorization.

213138969120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 213138969120 in words is "two hundred thirteen billion, one hundred thirty-eight million, nine hundred sixty-nine thousand, one hundred twenty".