1306030142352 has 240 divisors, whose sum is σ = 3777351710208. Its totient is φ = 388264181760.

The previous prime is 1306030142341. The next prime is 1306030142363. The reversal of 1306030142352 is 2532410306031.

It is an interprime number because it is at equal distance from previous prime (1306030142341) and next prime (1306030142363).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169236798 + ... + 169244514.

Almost surely, 2^{1306030142352} is an apocalyptic number.

1306030142352 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 1306030142352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888675855104).

1306030142352 is an abundant number, since it is smaller than the sum of its proper divisors (2471321567856).

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

1306030142352 is a wasteful number, since it uses less digits than its factorization.

1306030142352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8458 (or 8439 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 1306030142352 its reverse (2532410306031), we get a palindrome (3838440448383).

The spelling of 1306030142352 in words is "one trillion, three hundred six billion, thirty million, one hundred forty-two thousand, three hundred fifty-two".