13052100125031 has 16 divisors (see below), whose sum is σ = 19019580198528. Its totient is φ = 7895902341600.

The previous prime is 13052100125011. The next prime is 13052100125039.

13052100125031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13052100125031 - 2¹⁸ = 13052099862887 is a prime.

It is a super-2 number, since 2×13052100125031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13052100124992 and 13052100125010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13052100125039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361515940 + ... + 361552041.

It is an arithmetic number, because the mean of its divisors is an integer number (1188723762408).

Almost surely, 2^{13052100125031} is an apocalyptic number.

13052100125031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13052100125031 is a deficient number, since it is larger than the sum of its proper divisors (5967480073497).

13052100125031 is a wasteful number, since it uses less digits than its factorization.

13052100125031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723068542.

The product of its (nonzero) digits is 900, while the sum is 24.

It can be divided in two parts, 13052100 and 125031, that added together give a palindrome (13177131).

The spelling of 13052100125031 in words is "thirteen trillion, fifty-two billion, one hundred million, one hundred twenty-five thousand, thirty-one".