1312131303289 has 27 divisors (see below), whose sum is σ = 1368665467533. Its totient is φ = 1257905283552.

The previous prime is 1312131303283. The next prime is 1312131303299. The reversal of 1312131303289 is 9823031312131.

It is a happy number.

The square root of 1312131303289 is 1145483.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 300175781689 + 1011955521600 = 547883^2 + 1005960^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1312131303289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1312131303283) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3517778107 + ... + 3517778479.

Almost surely, 2^{1312131303289} is an apocalyptic number.

1312131303289 is the 1145483-rd square number.

1312131303289 is the 572742-nd centered octagonal number.

It is an amenable number.

1312131303289 is a deficient number, since it is larger than the sum of its proper divisors (56534164244).

1312131303289 is an frugal number, since it uses more digits than its factorization.

1312131303289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 1312131303289 in words is "one trillion, three hundred twelve billion, one hundred thirty-one million, three hundred three thousand, two hundred eighty-nine".