13014001115125 has 16 divisors (see below), whose sum is σ = 16243110702000. Its totient is φ = 10410151334400.

The previous prime is 13014001115119. The next prime is 13014001115131. The reversal of 13014001115125 is 52151110041031.

It is an interprime number because it is at equal distance from previous prime (13014001115119) and next prime (13014001115131).

It can be written as a sum of positive squares in 8 ways, for example, as 6766355893284 + 6247645221841 = 2601222^2 + 2499529^2 .

It is not a de Polignac number, because 13014001115125 - 2¹⁷ = 13014000984053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 13014001115125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4001700 + ... + 6483949.

It is an arithmetic number, because the mean of its divisors is an integer number (1015194418875).

Almost surely, 2^{13014001115125} is an apocalyptic number.

It is an amenable number.

13014001115125 is a deficient number, since it is larger than the sum of its proper divisors (3229109586875).

13014001115125 is an equidigital number, since it uses as much as digits as its factorization.

13014001115125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10495593 (or 10495583 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 25.

Adding to 13014001115125 its reverse (52151110041031), we get a palindrome (65165111156156).

The spelling of 13014001115125 in words is "thirteen trillion, fourteen billion, one million, one hundred fifteen thousand, one hundred twenty-five".