2013133323201 has 192 divisors, whose sum is σ = 3756885124608. Its totient is φ = 932405760000.

The previous prime is 2013133323191. The next prime is 2013133323211. The reversal of 2013133323201 is 1023233313102.

It is an interprime number because it is at equal distance from previous prime (2013133323191) and next prime (2013133323211).

It is not a de Polignac number, because 2013133323201 - 2⁷ = 2013133323073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013133323211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136782295 + ... + 136797011.

It is an arithmetic number, because the mean of its divisors is an integer number (19567110024).

Almost surely, 2^{2013133323201} is an apocalyptic number.

2013133323201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2013133323201 is a deficient number, since it is larger than the sum of its proper divisors (1743751801407).

2013133323201 is a wasteful number, since it uses less digits than its factorization.

2013133323201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14904 (or 14893 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2013133323201 its reverse (1023233313102), we get a palindrome (3036366636303).

The spelling of 2013133323201 in words is "two trillion, thirteen billion, one hundred thirty-three million, three hundred twenty-three thousand, two hundred one".