213431312040 has 64 divisors (see below), whose sum is σ = 640836524160. Its totient is φ = 56866786560.

The previous prime is 213431312009. The next prime is 213431312111. The reversal of 213431312040 is 40213134312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213431312040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611284 + ... + 894723.

It is an arithmetic number, because the mean of its divisors is an integer number (10013070690).

Almost surely, 2^213431312040 is an apocalyptic number.

213431312040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213431312040 is an abundant number, since it is smaller than the sum of its proper divisors (427405212120).

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

213431312040 is a wasteful number, since it uses less digits than its factorization.

213431312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507202 (or 1507198 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213431312040 its reverse (40213134312), we get a palindrome (253644446352).

The spelling of 213431312040 in words is "two hundred thirteen billion, four hundred thirty-one million, three hundred twelve thousand, forty".