1312013125013 has 8 divisors (see below), whose sum is σ = 1357268595480. Its totient is φ = 1266758563840.

The previous prime is 1312013125009. The next prime is 1312013125039. The reversal of 1312013125013 is 3105213102131.

It can be written as a sum of positive squares in 4 ways, for example, as 260040843364 + 1051972281649 = 509942^2 + 1025657^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1312013125013 - 2² = 1312013125009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1312013125013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312013125513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4113233 + ... + 4420713.

It is an arithmetic number, because the mean of its divisors is an integer number (169658574435).

Almost surely, 2^{1312013125013} is an apocalyptic number.

It is an amenable number.

1312013125013 is a deficient number, since it is larger than the sum of its proper divisors (45255470467).

1312013125013 is a wasteful number, since it uses less digits than its factorization.

1312013125013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454647.

The product of its (nonzero) digits is 540, while the sum is 23.

Adding to 1312013125013 its reverse (3105213102131), we get a palindrome (4417226227144).

The spelling of 1312013125013 in words is "one trillion, three hundred twelve billion, thirteen million, one hundred twenty-five thousand, thirteen".