213332413303040 has 144 divisors (see below), whose sum is σ = 511699737400320. Its totient is φ = 85215818465280.

The previous prime is 213332413303003. The next prime is 213332413303073. The reversal of 213332413303040 is 40303314233312.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 213332413302988 and 213332413303006.

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 15 ways as a sum of consecutive naturals, for example, 3173658551 + ... + 3173725769.

Almost surely, 2^{213332413303040} is an apocalyptic number.

213332413303040 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 213332413303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255849868700160).

213332413303040 is an abundant number, since it is smaller than the sum of its proper divisors (298367324097280).

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

213332413303040 is a wasteful number, since it uses less digits than its factorization.

213332413303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70608 (or 70594 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 213332413303040 its reverse (40303314233312), we get a palindrome (253635727536352).

The spelling of 213332413303040 in words is "two hundred thirteen trillion, three hundred thirty-two billion, four hundred thirteen million, three hundred three thousand, forty".