213112401000000 has 392 divisors, whose sum is σ = 705215781872448. Its totient is φ = 56797728000000.

The previous prime is 213112400999941. The next prime is 213112401000007. The reversal of 213112401000000 is 104211312.

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

It is not an unprimeable number, because it can be changed into a prime (213112401000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5540980770 + ... + 5541019230.

Almost surely, 2^{213112401000000} is an apocalyptic number.

213112401000000 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 213112401000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352607890936224).

213112401000000 is an abundant number, since it is smaller than the sum of its proper divisors (492103380872448).

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

213112401000000 is an frugal number, since it uses more digits than its factorization.

213112401000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40353 (or 40318 counting only the distinct ones).

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

Adding to 213112401000000 its reverse (104211312), we get a palindrome (213112505211312).

The spelling of 213112401000000 in words is "two hundred thirteen trillion, one hundred twelve billion, four hundred one million", and thus it is an aban number.