1353440311353 has 32 divisors (see below), whose sum is σ = 2159526096000. Its totient is φ = 832812625728.

The previous prime is 1353440311331. The next prime is 1353440311357. The reversal of 1353440311353 is 3531130443531.

It is a happy number.

1353440311353 is a `hidden beast` number, since 1 + 3 + 53 + 440 + 3 + 113 + 53 = 666.

It is not a de Polignac number, because 1353440311353 - 2²⁵ = 1353406756921 is a prime.

It is a super-3 number, since 3×1353440311353³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1353440311357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3941551 + ... + 4271147.

It is an arithmetic number, because the mean of its divisors is an integer number (67485190500).

Almost surely, 2^{1353440311353} is an apocalyptic number.

1353440311353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1353440311353 is a deficient number, since it is larger than the sum of its proper divisors (806085784647).

1353440311353 is a wasteful number, since it uses less digits than its factorization.

1353440311353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341318 (or 341312 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 1353440311353 its reverse (3531130443531), we get a palindrome (4884570754884).

The spelling of 1353440311353 in words is "one trillion, three hundred fifty-three billion, four hundred forty million, three hundred eleven thousand, three hundred fifty-three".