1305642436131 has 32 divisors (see below), whose sum is σ = 2012427244800. Its totient is φ = 744159534080.

The previous prime is 1305642436123. The next prime is 1305642436139. The reversal of 1305642436131 is 1316342465031.

It is an interprime number because it is at equal distance from previous prime (1305642436123) and next prime (1305642436139).

It is not a de Polignac number, because 1305642436131 - 2³ = 1305642436123 is a prime.

It is a super-2 number, since 2×1305642436131² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1305642436131.

It is not an unprimeable number, because it can be changed into a prime (1305642436139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217986 + ... + 1630583.

It is an arithmetic number, because the mean of its divisors is an integer number (62888351400).

Almost surely, 2^{1305642436131} is an apocalyptic number.

1305642436131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1305642436131 is a deficient number, since it is larger than the sum of its proper divisors (706784808669).

1305642436131 is a wasteful number, since it uses less digits than its factorization.

1305642436131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849859.

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 1305642436131 in words is "one trillion, three hundred five billion, six hundred forty-two million, four hundred thirty-six thousand, one hundred thirty-one".