213403000431040 has 448 divisors, whose sum is σ = 602418990809088. Its totient is φ = 70461832089600.

The previous prime is 213403000431011. The next prime is 213403000431059. The reversal of 213403000431040 is 40134000304312.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 213403000430996 and 213403000431014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17068137429 + ... + 17068149931.

Almost surely, 2^{213403000431040} is an apocalyptic number.

213403000431040 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 213403000431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301209495404544).

213403000431040 is an abundant number, since it is smaller than the sum of its proper divisors (389015990378048).

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

213403000431040 is a wasteful number, since it uses less digits than its factorization.

213403000431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13736 (or 13726 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 213403000431040 its reverse (40134000304312), we get a palindrome (253537000735352).

The spelling of 213403000431040 in words is "two hundred thirteen trillion, four hundred three billion, four hundred thirty-one thousand, forty".