1353221051013 has 24 divisors (see below), whose sum is σ = 2106048355320. Its totient is φ = 832340845440.

The previous prime is 1353221050949. The next prime is 1353221051057. The reversal of 1353221051013 is 3101501223531.

1353221051013 is a `hidden beast` number, since 1 + 3 + 532 + 2 + 105 + 10 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 586207672164 + 767013378849 = 765642^2 + 875793^2 .

It is not a de Polignac number, because 1353221051013 - 2⁶ = 1353221050949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353221053013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2612778 + ... + 3087563.

It is an arithmetic number, because the mean of its divisors is an integer number (87752014805).

Almost surely, 2^{1353221051013} is an apocalyptic number.

1353221051013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1353221051013 is a deficient number, since it is larger than the sum of its proper divisors (752827304307).

1353221051013 is a wasteful number, since it uses less digits than its factorization.

1353221051013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5702389 (or 5702386 counting only the distinct ones).

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

Adding to 1353221051013 its reverse (3101501223531), we get a palindrome (4454722274544).

The spelling of 1353221051013 in words is "one trillion, three hundred fifty-three billion, two hundred twenty-one million, fifty-one thousand, thirteen".