213415045500000 has 672 divisors, whose sum is σ = 729043402500000. Its totient is φ = 54596505600000.

The previous prime is 213415045499987. The next prime is 213415045500001. The reversal of 213415045500000 is 5540514312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213415045500001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6829484376 + ... + 6829515624.

It is an arithmetic number, because the mean of its divisors is an integer number (1084886015625).

Almost surely, 2^{213415045500000} is an apocalyptic number.

213415045500000 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 213415045500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364521701250000).

213415045500000 is an abundant number, since it is smaller than the sum of its proper divisors (515628357000000).

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

213415045500000 is an equidigital number, since it uses as much as digits as its factorization.

213415045500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31478 (or 31445 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 213415045500000 in words is "two hundred thirteen trillion, four hundred fifteen billion, forty-five million, five hundred thousand".