213330421032240 has 160 divisors (see below), whose sum is σ = 663124018346496. Its totient is φ = 56733506887680.

The previous prime is 213330421032217. The next prime is 213330421032263. The reversal of 213330421032240 is 42230124033312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213330421032217) and next prime (213330421032263).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 213330421032198 and 213330421032207.

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 31 ways as a sum of consecutive naturals, for example, 130178437 + ... + 131807003.

Almost surely, 2^{213330421032240} is an apocalyptic number.

213330421032240 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 213330421032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331562009173248).

213330421032240 is an abundant number, since it is smaller than the sum of its proper divisors (449793597314256).

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

213330421032240 is a wasteful number, since it uses less digits than its factorization.

213330421032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630067 (or 1630061 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 213330421032240 its reverse (42230124033312), we get a palindrome (255560545065552).

The spelling of 213330421032240 in words is "two hundred thirteen trillion, three hundred thirty billion, four hundred twenty-one million, thirty-two thousand, two hundred forty".