1306005604131 has 16 divisors (see below), whose sum is σ = 1743580460160. Its totient is φ = 869551270080.

The previous prime is 1306005604103. The next prime is 1306005604133. The reversal of 1306005604131 is 1314065006031.

It is not a de Polignac number, because 1306005604131 - 2⁹ = 1306005603619 is a prime.

It is a super-2 number, since 2×1306005604131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1306005604133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7579471 + ... + 7749863.

It is an arithmetic number, because the mean of its divisors is an integer number (108973778760).

Almost surely, 2^{1306005604131} is an apocalyptic number.

1306005604131 is a deficient number, since it is larger than the sum of its proper divisors (437574856029).

1306005604131 is a wasteful number, since it uses less digits than its factorization.

1306005604131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173666.

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 1306005604131 in words is "one trillion, three hundred six billion, five million, six hundred four thousand, one hundred thirty-one".