10213134444144 has 80 divisors (see below), whose sum is σ = 29316826951200. Its totient is φ = 3404221553664.

The previous prime is 10213134444131. The next prime is 10213134444199. The reversal of 10213134444144 is 44144443131201.

10213134444144 is a `hidden beast` number, since 1 + 0 + 2 + 131 + 3 + 44 + 441 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10213134444099 and 10213134444108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9054742 + ... + 10120010.

It is an arithmetic number, because the mean of its divisors is an integer number (366460336890).

Almost surely, 2^{10213134444144} is an apocalyptic number.

It is an amenable number.

10213134444144 is an abundant number, since it is smaller than the sum of its proper divisors (19103692507056).

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

10213134444144 is a wasteful number, since it uses less digits than its factorization.

10213134444144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087479 (or 1087467 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 10213134444144 its reverse (44144443131201), we get a palindrome (54357577575345).

The spelling of 10213134444144 in words is "ten trillion, two hundred thirteen billion, one hundred thirty-four million, four hundred forty-four thousand, one hundred forty-four".