10213255566136 has 192 divisors, whose sum is σ = 23829962184000. Its totient is φ = 4081576181760.

The previous prime is 10213255566127. The next prime is 10213255566161. The reversal of 10213255566136 is 63166555231201.

10213255566136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520835500 + ... + 520855108.

It is an arithmetic number, because the mean of its divisors is an integer number (124114386375).

Almost surely, 2^{10213255566136} 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 10213255566136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11914981092000).

10213255566136 is an abundant number, since it is smaller than the sum of its proper divisors (13616706617864).

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

10213255566136 is a wasteful number, since it uses less digits than its factorization.

10213255566136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21102 (or 21091 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 10213255566136 in words is "ten trillion, two hundred thirteen billion, two hundred fifty-five million, five hundred sixty-six thousand, one hundred thirty-six".