1301133032101 has 48 divisors (see below), whose sum is σ = 1545705607680. Its totient is φ = 1091744166240.

The previous prime is 1301133032057. The next prime is 1301133032113. The reversal of 1301133032101 is 1012303311031.

It is not a de Polignac number, because 1301133032101 - 2³⁹ = 751377218213 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 (1301133032141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111129246 + ... + 1111130416.

It is an arithmetic number, because the mean of its divisors is an integer number (32202200160).

Almost surely, 2^{1301133032101} is an apocalyptic number.

It is an amenable number.

1301133032101 is a deficient number, since it is larger than the sum of its proper divisors (244572575579).

1301133032101 is a wasteful number, since it uses less digits than its factorization.

1301133032101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1301133032101 its reverse (1012303311031), we get a palindrome (2313436343132).

The spelling of 1301133032101 in words is "one trillion, three hundred one billion, one hundred thirty-three million, thirty-two thousand, one hundred one".