1306299035352 has 128 divisors (see below), whose sum is σ = 3466552320000. Its totient is φ = 409048206336.

The previous prime is 1306299035347. The next prime is 1306299035357. The reversal of 1306299035352 is 2535309926031.

It is an interprime number because it is at equal distance from previous prime (1306299035347) and next prime (1306299035357).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306299035357) 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, 133713924 + ... + 133723692.

It is an arithmetic number, because the mean of its divisors is an integer number (27082440000).

Almost surely, 2^{1306299035352} is an apocalyptic number.

1306299035352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306299035352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733276160000).

1306299035352 is an abundant number, since it is smaller than the sum of its proper divisors (2160253284648).

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

1306299035352 is a wasteful number, since it uses less digits than its factorization.

1306299035352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12233 (or 12229 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 48.

The spelling of 1306299035352 in words is "one trillion, three hundred six billion, two hundred ninety-nine million, thirty-five thousand, three hundred fifty-two".