1053153122013 has 12 divisors (see below), whose sum is σ = 1573677079260. Its totient is φ = 677891664576.

The previous prime is 1053153122011. The next prime is 1053153122093. The reversal of 1053153122013 is 3102213513501.

1053153122013 is a `hidden beast` number, since 1 + 0 + 5 + 315 + 312 + 20 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 347018780889 + 706134341124 = 589083^2 + 840318^2 .

It is not a de Polignac number, because 1053153122013 - 2¹ = 1053153122011 is a prime.

It is a super-2 number, since 2×1053153122013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053153122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2017534456 + ... + 2017534977.

It is an arithmetic number, because the mean of its divisors is an integer number (131139756605).

Almost surely, 2^{1053153122013} is an apocalyptic number.

It is an amenable number.

1053153122013 is a deficient number, since it is larger than the sum of its proper divisors (520523957247).

1053153122013 is a wasteful number, since it uses less digits than its factorization.

1053153122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035069468 (or 4035069465 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 1053153122013 its reverse (3102213513501), we get a palindrome (4155366635514).

The spelling of 1053153122013 in words is "one trillion, fifty-three billion, one hundred fifty-three million, one hundred twenty-two thousand, thirteen".