213310031440 has 160 divisors (see below), whose sum is σ = 577531607040. Its totient is φ = 72449395200.

The previous prime is 213310031381. The next prime is 213310031449. The reversal of 213310031440 is 44130013312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213310031449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097277 + ... + 1276963.

It is an arithmetic number, because the mean of its divisors is an integer number (3609572544).

Almost surely, 2^213310031440 is an apocalyptic number.

213310031440 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 213310031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288765803520).

213310031440 is an abundant number, since it is smaller than the sum of its proper divisors (364221575600).

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

213310031440 is a wasteful number, since it uses less digits than its factorization.

213310031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179801 (or 179795 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 213310031440 its reverse (44130013312), we get a palindrome (257440044752).

The spelling of 213310031440 in words is "two hundred thirteen billion, three hundred ten million, thirty-one thousand, four hundred forty".