125121101313 has 8 divisors (see below), whose sum is σ = 179661068608. Its totient is φ = 76997600784.

The previous prime is 125121101233. The next prime is 125121101321. The reversal of 125121101313 is 313101121521.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 125121101313 - 2¹⁶ = 125121035777 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125121101313.

It is not an unprimeable number, because it can be changed into a prime (125121101323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1604116645 + ... + 1604116722.

It is an arithmetic number, because the mean of its divisors is an integer number (22457633576).

Almost surely, 2^125121101313 is an apocalyptic number.

125121101313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

125121101313 is a deficient number, since it is larger than the sum of its proper divisors (54539967295).

125121101313 is a wasteful number, since it uses less digits than its factorization.

125121101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208233383.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 125121101313 its reverse (313101121521), we get a palindrome (438222222834).

The spelling of 125121101313 in words is "one hundred twenty-five billion, one hundred twenty-one million, one hundred one thousand, three hundred thirteen".