1325105100101 has 16 divisors (see below), whose sum is σ = 1333581849600. Its totient is φ = 1316663132400.

The previous prime is 1325105100073. The next prime is 1325105100133. The reversal of 1325105100101 is 1010015015231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1325105100101 - 2¹⁴ = 1325105083717 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 (1325105100601) 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, 124546340 + ... + 124556978.

It is an arithmetic number, because the mean of its divisors is an integer number (83348865600).

Almost surely, 2^{1325105100101} is an apocalyptic number.

It is an amenable number.

1325105100101 is a deficient number, since it is larger than the sum of its proper divisors (8476749499).

1325105100101 is a wasteful number, since it uses less digits than its factorization.

1325105100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12200.

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 1325105100101 in words is "one trillion, three hundred twenty-five billion, one hundred five million, one hundred thousand, one hundred one".