213120011040000 has 360 divisors, whose sum is σ = 723866275144320. Its totient is φ = 55622805504000.

The previous prime is 213120011039917. The next prime is 213120011040043. The reversal of 213120011040000 is 40110021312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17836596 + ... + 27283404.

Almost surely, 2^{213120011040000} is an apocalyptic number.

213120011040000 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 213120011040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361933137572160).

213120011040000 is an abundant number, since it is smaller than the sum of its proper divisors (510746264104320).

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

213120011040000 is an frugal number, since it uses more digits than its factorization.

213120011040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9446895 (or 9446866 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 213120011040000 its reverse (40110021312), we get a palindrome (213160121061312).

The spelling of 213120011040000 in words is "two hundred thirteen trillion, one hundred twenty billion, eleven million, forty thousand".