10213104204144 has 140 divisors (see below), whose sum is σ = 29679560134096. Its totient is φ = 3403071657216.

The previous prime is 10213104204143. The next prime is 10213104204151. The reversal of 10213104204144 is 44140240131201.

10213104204144 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 310 + 4 + 204 + 144 = 666.

10213104204144 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213104204143) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 30709212 + ... + 31040004.

Almost surely, 2^{10213104204144} 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 10213104204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839780067048).

10213104204144 is an abundant number, since it is smaller than the sum of its proper divisors (19466455929952).

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

10213104204144 is an equidigital number, since it uses as much as digits as its factorization.

10213104204144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333466 (or 333445 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10213104204144 its reverse (44140240131201), we get a palindrome (54353344335345).

The spelling of 10213104204144 in words is "ten trillion, two hundred thirteen billion, one hundred four million, two hundred four thousand, one hundred forty-four".