1351105005330 has 288 divisors, whose sum is σ = 3769199768880. Its totient is φ = 335378534400.

The previous prime is 1351105005311. The next prime is 1351105005331. The reversal of 1351105005330 is 335005011531.

1351105005330 is a `hidden beast` number, since 13 + 5 + 110 + 5 + 0 + 0 + 533 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 308568029121 + 1042536976209 = 555489^2 + 1021047^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1351105005294 and 1351105005303.

It is not an unprimeable number, because it can be changed into a prime (1351105005331) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 785068870 + ... + 785070590.

Almost surely, 2^{1351105005330} is an apocalyptic number.

1351105005330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351105005330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884599884440).

1351105005330 is an abundant number, since it is smaller than the sum of its proper divisors (2418094763550).

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

1351105005330 is a wasteful number, since it uses less digits than its factorization.

1351105005330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The spelling of 1351105005330 in words is "one trillion, three hundred fifty-one billion, one hundred five million, five thousand, three hundred thirty".