13313010012133 has 32 divisors (see below), whose sum is σ = 14969119697280. Its totient is φ = 11759830698240.

The previous prime is 13313010012121. The next prime is 13313010012143. The reversal of 13313010012133 is 33121001031331.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13313010012133 is a prime.

It is a super-3 number, since 3×13313010012133³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313010012143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6223443 + ... + 8084383.

It is an arithmetic number, because the mean of its divisors is an integer number (467784990540).

Almost surely, 2^{13313010012133} is an apocalyptic number.

13313010012133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13313010012133 is a deficient number, since it is larger than the sum of its proper divisors (1656109685147).

13313010012133 is a wasteful number, since it uses less digits than its factorization.

13313010012133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861237.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13313010012133 its reverse (33121001031331), we get a palindrome (46434011043464).

The spelling of 13313010012133 in words is "thirteen trillion, three hundred thirteen billion, ten million, twelve thousand, one hundred thirty-three".