213121999069056 has 1280 divisors, whose sum is σ = 859221209088000. Its totient is φ = 50751053107200.

The previous prime is 213121999069019. The next prime is 213121999069073. The reversal of 213121999069056 is 650960999121312.

213121999069056 is a `hidden beast` number, since 21 + 312 + 199 + 9 + 0 + 69 + 0 + 56 = 666.

It is a super-2 number, since 2×213121999069056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 213121999068984 and 213121999069002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 469993285 + ... + 470446523.

It is an arithmetic number, because the mean of its divisors is an integer number (671266569600).

Almost surely, 2^{213121999069056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213121999069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429610604544000).

213121999069056 is an abundant number, since it is smaller than the sum of its proper divisors (646099210018944).

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

213121999069056 is a wasteful number, since it uses less digits than its factorization.

213121999069056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453333 (or 453312 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 63.

The spelling of 213121999069056 in words is "two hundred thirteen trillion, one hundred twenty-one billion, nine hundred ninety-nine million, sixty-nine thousand, fifty-six".