1312100012131 has 16 divisors (see below), whose sum is σ = 1333191303360. Its totient is φ = 1291083171840.

The previous prime is 1312100012117. The next prime is 1312100012143.

It is a happy number.

1312100012131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1312100012131 - 2¹³ = 1312100003939 is a prime.

It is a super-2 number, since 2×1312100012131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1312100012731) 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 15 ways as a sum of consecutive naturals, for example, 125807425 + ... + 125817853.

It is an arithmetic number, because the mean of its divisors is an integer number (83324456460).

Almost surely, 2^{1312100012131} is an apocalyptic number.

1312100012131 is a deficient number, since it is larger than the sum of its proper divisors (21091291229).

1312100012131 is a wasteful number, since it uses less digits than its factorization.

1312100012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13806.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 13121000 and 12131, that added together give a palindrome (13133131).

The spelling of 1312100012131 in words is "one trillion, three hundred twelve billion, one hundred million, twelve thousand, one hundred thirty-one".