213256542165030 has 384 divisors, whose sum is σ = 693420279552000. Its totient is φ = 44272097372160.

The previous prime is 213256542165001. The next prime is 213256542165047. The reversal of 213256542165030 is 30561245652312.

213256542165030 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 56 + 542 + 1 + 6 + 50 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 289796034 + ... + 290530986.

It is an arithmetic number, because the mean of its divisors is an integer number (1805781978000).

Almost surely, 2^{213256542165030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213256542165030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346710139776000).

213256542165030 is an abundant number, since it is smaller than the sum of its proper divisors (480163737386970).

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

213256542165030 is a wasteful number, since it uses less digits than its factorization.

213256542165030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735556 (or 735553 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 213256542165030 in words is "two hundred thirteen trillion, two hundred fifty-six billion, five hundred forty-two million, one hundred sixty-five thousand, thirty".