1306135045050 has 192 divisors, whose sum is σ = 3649134440448. Its totient is φ = 306302400000.

The previous prime is 1306135044983. The next prime is 1306135045067. The reversal of 1306135045050 is 505405316031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227665782 + ... + 227671518.

It is an arithmetic number, because the mean of its divisors is an integer number (19005908544).

Almost surely, 2^{1306135045050} is an apocalyptic number.

1306135045050 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 1306135045050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824567220224).

1306135045050 is an abundant number, since it is smaller than the sum of its proper divisors (2342999395398).

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

1306135045050 is a wasteful number, since it uses less digits than its factorization.

1306135045050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10245 (or 10240 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 1306135045050 in words is "one trillion, three hundred six billion, one hundred thirty-five million, forty-five thousand, fifty".