1306123631331 has 8 divisors (see below), whose sum is σ = 1843939244304. Its totient is φ = 819528552960.

The previous prime is 1306123631321. The next prime is 1306123631357. The reversal of 1306123631331 is 1331363216031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1306123631331 - 2⁷ = 1306123631203 is a prime.

It is a super-2 number, since 2×1306123631331² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1306123631292 and 1306123631301.

It is not an unprimeable number, because it can be changed into a prime (1306123631311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12805133590 + ... + 12805133691.

It is an arithmetic number, because the mean of its divisors is an integer number (230492405538).

Almost surely, 2^{1306123631331} is an apocalyptic number.

1306123631331 is a deficient number, since it is larger than the sum of its proper divisors (537815612973).

1306123631331 is a wasteful number, since it uses less digits than its factorization.

1306123631331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25610267301.

The product of its (nonzero) digits is 17496, while the sum is 33.

Adding to 1306123631331 its reverse (1331363216031), we get a palindrome (2637486847362).

The spelling of 1306123631331 in words is "one trillion, three hundred six billion, one hundred twenty-three million, six hundred thirty-one thousand, three hundred thirty-one".