1310713127145 has 80 divisors (see below), whose sum is σ = 2528569085328. Its totient is φ = 647140700160.

The previous prime is 1310713127093. The next prime is 1310713127147. The reversal of 1310713127145 is 5417213170131.

1310713127145 is a `hidden beast` number, since 1 + 310 + 7 + 1 + 31 + 271 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15821614656 + 1294891512489 = 125784^2 + 1137933^2 .

It is not a de Polignac number, because 1310713127145 - 2¹⁵ = 1310713094377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1310713127147) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1140444 + ... + 1980413.

Almost surely, 2^{1310713127145} is an apocalyptic number.

1310713127145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1310713127145 is a deficient number, since it is larger than the sum of its proper divisors (1217855958183).

1310713127145 is a wasteful number, since it uses less digits than its factorization.

1310713127145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120952 (or 3120943 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Adding to 1310713127145 its reverse (5417213170131), we get a palindrome (6727926297276).

The spelling of 1310713127145 in words is "one trillion, three hundred ten billion, seven hundred thirteen million, one hundred twenty-seven thousand, one hundred forty-five".