1305101253231 has 20 divisors (see below), whose sum is σ = 1950572203272. Its totient is φ = 869631707088.

The previous prime is 1305101253229. The next prime is 1305101253233. The reversal of 1305101253231 is 1323521015031.

1305101253231 is a `hidden beast` number, since 1 + 3 + 0 + 510 + 125 + 3 + 23 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1305101253229) and next prime (1305101253233).

It is not a de Polignac number, because 1305101253231 - 2¹ = 1305101253229 is a prime.

It is a super-2 number, since 2×1305101253231² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1305101253195 and 1305101253204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305101253233) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3872385 + ... + 4195898.

Almost surely, 2^{1305101253231} is an apocalyptic number.

1305101253231 is a deficient number, since it is larger than the sum of its proper divisors (645470950041).

1305101253231 is an equidigital number, since it uses as much as digits as its factorization.

1305101253231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8070292 (or 8070283 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 1305101253231 its reverse (1323521015031), we get a palindrome (2628622268262).

The spelling of 1305101253231 in words is "one trillion, three hundred five billion, one hundred one million, two hundred fifty-three thousand, two hundred thirty-one".