1306131629712 has 480 divisors, whose sum is σ = 4477615414272. Its totient is φ = 319351431168.

The previous prime is 1306131629707. The next prime is 1306131629731. The reversal of 1306131629712 is 2179261316031.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 84569863 + ... + 84585305.

Almost surely, 2^{1306131629712} is an apocalyptic number.

1306131629712 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 1306131629712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238807707136).

1306131629712 is an abundant number, since it is smaller than the sum of its proper divisors (3171483784560).

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

1306131629712 is a wasteful number, since it uses less digits than its factorization.

1306131629712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15575 (or 15552 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 1306131629712 in words is "one trillion, three hundred six billion, one hundred thirty-one million, six hundred twenty-nine thousand, seven hundred twelve".