1306055026331 has 16 divisors (see below), whose sum is σ = 1477343551488. Its totient is φ = 1143869385600.

The previous prime is 1306055026327. The next prime is 1306055026349. The reversal of 1306055026331 is 1336205506031.

It is a cyclic number.

It is not a de Polignac number, because 1306055026331 - 2² = 1306055026327 is a prime.

It is a super-2 number, since 2×1306055026331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1306055026291 and 1306055026300.

It is not an unprimeable number, because it can be changed into a prime (1306055026391) 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 15 ways as a sum of consecutive naturals, for example, 8511566 + ... + 8663651.

It is an arithmetic number, because the mean of its divisors is an integer number (92333971968).

Almost surely, 2^{1306055026331} is an apocalyptic number.

1306055026331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1306055026331 is a deficient number, since it is larger than the sum of its proper divisors (171288525157).

1306055026331 is a wasteful number, since it uses less digits than its factorization.

1306055026331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17175482.

The product of its (nonzero) digits is 48600, while the sum is 35.

The spelling of 1306055026331 in words is "one trillion, three hundred six billion, fifty-five million, twenty-six thousand, three hundred thirty-one".