1312001000101 has 8 divisors (see below), whose sum is σ = 1432031529600. Its totient is φ = 1192096755840.

The previous prime is 1312001000087. The next prime is 1312001000131. The reversal of 1312001000101 is 1010001002131.

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 1312001000101 - 2¹¹ = 1312000998053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312001000131) 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, 31549581 + ... + 31591138.

It is an arithmetic number, because the mean of its divisors is an integer number (179003941200).

Almost surely, 2^{1312001000101} is an apocalyptic number.

1312001000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1312001000101 is a deficient number, since it is larger than the sum of its proper divisors (120030529499).

1312001000101 is a wasteful number, since it uses less digits than its factorization.

1312001000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63142619.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1312001000101 its reverse (1010001002131), we get a palindrome (2322002002232).

The spelling of 1312001000101 in words is "one trillion, three hundred twelve billion, one million, one hundred one", and thus it is an aban number.