1312421505101 has 96 divisors (see below), whose sum is σ = 1643876570880. Its totient is φ = 1042921958400.

The previous prime is 1312421505061. The next prime is 1312421505107. The reversal of 1312421505101 is 1015051242131.

It is a de Polignac number, because none of the positive numbers 2^k-1312421505101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312421505107) 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 95 ways as a sum of consecutive naturals, for example, 658514561 + ... + 658516553.

It is an arithmetic number, because the mean of its divisors is an integer number (17123714280).

Almost surely, 2^{1312421505101} is an apocalyptic number.

It is an amenable number.

1312421505101 is a deficient number, since it is larger than the sum of its proper divisors (331455065779).

1312421505101 is a wasteful number, since it uses less digits than its factorization.

1312421505101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 1312421505101 its reverse (1015051242131), we get a palindrome (2327472747232).

The spelling of 1312421505101 in words is "one trillion, three hundred twelve billion, four hundred twenty-one million, five hundred five thousand, one hundred one".