1301310032101 has 48 divisors (see below), whose sum is σ = 1385249299200. Its totient is φ = 1221974883840.

The previous prime is 1301310032063. The next prime is 1301310032137. The reversal of 1301310032101 is 1012300131031.

It is not a de Polignac number, because 1301310032101 - 2²⁹ = 1300773161189 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 (1301310032161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1809888420 + ... + 1809889138.

It is an arithmetic number, because the mean of its divisors is an integer number (28859360400).

Almost surely, 2^{1301310032101} is an apocalyptic number.

It is an amenable number.

1301310032101 is a deficient number, since it is larger than the sum of its proper divisors (83939267099).

1301310032101 is a wasteful number, since it uses less digits than its factorization.

1301310032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1301310032101 its reverse (1012300131031), we get a palindrome (2313610163132).

The spelling of 1301310032101 in words is "one trillion, three hundred one billion, three hundred ten million, thirty-two thousand, one hundred one".