13032070126101 has 24 divisors (see below), whose sum is σ = 20272852618200. Its totient is φ = 8019441317376.

The previous prime is 13032070126087. The next prime is 13032070126133. The reversal of 13032070126101 is 10162107023031.

13032070126101 is a `hidden beast` number, since 1 + 3 + 0 + 32 + 0 + 7 + 0 + 12 + 610 + 1 = 666.

13032070126101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3130670196900 + 9901399929201 = 1769370^2 + 3146649^2 .

It is not a de Polignac number, because 13032070126101 - 2¹⁹ = 13032069601813 is a prime.

It is a super-2 number, since 2×13032070126101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032070127101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1182585 + ... + 5240481.

It is an arithmetic number, because the mean of its divisors is an integer number (844702192425).

Almost surely, 2^{13032070126101} is an apocalyptic number.

It is an amenable number.

13032070126101 is a deficient number, since it is larger than the sum of its proper divisors (7240782492099).

13032070126101 is a wasteful number, since it uses less digits than its factorization.

13032070126101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085365 (or 4085362 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 13032070126101 its reverse (10162107023031), we get a palindrome (23194177149132).

The spelling of 13032070126101 in words is "thirteen trillion, thirty-two billion, seventy million, one hundred twenty-six thousand, one hundred one".