13264461030601 has 24 divisors (see below), whose sum is σ = 14975187481800. Its totient is φ = 11731760282880.

The previous prime is 13264461030589. The next prime is 13264461030617. The reversal of 13264461030601 is 10603016446231.

13264461030601 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 2801435715001 + 10463025315600 = 1673749^2 + 3234660^2 .

It is not a de Polignac number, because 13264461030601 - 2⁹ = 13264461030089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13264461036601) 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, 59598675 + ... + 59820823.

It is an arithmetic number, because the mean of its divisors is an integer number (623966145075).

Almost surely, 2^{13264461030601} is an apocalyptic number.

13264461030601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13264461030601 is a deficient number, since it is larger than the sum of its proper divisors (1710726451199).

13264461030601 is a wasteful number, since it uses less digits than its factorization.

13264461030601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235545 (or 235534 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

Adding to 13264461030601 its reverse (10603016446231), we get a palindrome (23867477476832).

The spelling of 13264461030601 in words is "thirteen trillion, two hundred sixty-four billion, four hundred sixty-one million, thirty thousand, six hundred one".