1353134313531 has 288 divisors, whose sum is σ = 2858678251520. Its totient is φ = 598060869120.

The previous prime is 1353134313523. The next prime is 1353134313563.

1353134313531 is a `hidden beast` number, since 1 + 3 + 531 + 34 + 31 + 35 + 31 = 666.

1353134313531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1353134313531 - 2³ = 1353134313523 is a prime.

It is a super-2 number, since 2×1353134313531² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1353134313511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 69656886 + ... + 69676308.

Almost surely, 2^{1353134313531} is an apocalyptic number.

1353134313531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1353134313531 is an abundant number, since it is smaller than the sum of its proper divisors (1505543937989).

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

1353134313531 is a wasteful number, since it uses less digits than its factorization.

1353134313531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19527 (or 19513 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The spelling of 1353134313531 in words is "one trillion, three hundred fifty-three billion, one hundred thirty-four million, three hundred thirteen thousand, five hundred thirty-one".