213513035235360 has 192 divisors, whose sum is σ = 768979558416384. Its totient is φ = 48781860019200.

The previous prime is 213513035235359. The next prime is 213513035235433. The reversal of 213513035235360 is 63532530315312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5983536 + ... + 21513455.

It is an arithmetic number, because the mean of its divisors is an integer number (4005101866752).

Almost surely, 2^{213513035235360} is an apocalyptic number.

213513035235360 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 213513035235360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384489779208192).

213513035235360 is an abundant number, since it is smaller than the sum of its proper divisors (555466523181024).

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

213513035235360 is a wasteful number, since it uses less digits than its factorization.

213513035235360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27499327 (or 27499319 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 42.

The spelling of 213513035235360 in words is "two hundred thirteen trillion, five hundred thirteen billion, thirty-five million, two hundred thirty-five thousand, three hundred sixty".