13321303233401 has 48 divisors (see below), whose sum is σ = 14708913264432. Its totient is φ = 12020264386560.

The previous prime is 13321303233379. The next prime is 13321303233421. The reversal of 13321303233401 is 10433230312331.

13321303233401 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 24 ways, for example, as 11632356069376 + 1688947164025 = 3410624^2 + 1299595^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13321303233401 is a prime.

It is a super-4 number, since 4×13321303233401⁴ (a number of 54 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13321303233421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577843991 + ... + 577867043.

It is an arithmetic number, because the mean of its divisors is an integer number (306435693009).

Almost surely, 2^{13321303233401} is an apocalyptic number.

It is an amenable number.

13321303233401 is a deficient number, since it is larger than the sum of its proper divisors (1387610031031).

13321303233401 is a wasteful number, since it uses less digits than its factorization.

13321303233401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23502 (or 23461 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 13321303233401 its reverse (10433230312331), we get a palindrome (23754533545732).

The spelling of 13321303233401 in words is "thirteen trillion, three hundred twenty-one billion, three hundred three million, two hundred thirty-three thousand, four hundred one".