1306731000960 has 3072 divisors, whose sum is σ = 6334562304000. Its totient is φ = 248314429440.

The previous prime is 1306731000931. The next prime is 1306731000961. The reversal of 1306731000960 is 690001376031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1306731000961) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10289220417 + ... + 10289220543.

It is an arithmetic number, because the mean of its divisors is an integer number (2062032000).

Almost surely, 2^{1306731000960} is an apocalyptic number.

1306731000960 is a gapful number since it is divisible by the number (10) 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 1306731000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167281152000).

1306731000960 is an abundant number, since it is smaller than the sum of its proper divisors (5027831303040).

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

1306731000960 is a wasteful number, since it uses less digits than its factorization.

1306731000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

Adding to 1306731000960 its reverse (690001376031), we get a palindrome (1996732376991).

The spelling of 1306731000960 in words is "one trillion, three hundred six billion, seven hundred thirty-one million, nine hundred sixty", and thus it is an aban number.