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1313330333131 = 9901132646231
BaseRepresentation
bin10011000111001000100…
…101101000010111001011
311122112221020201112120001
4103013020211220113023
5133004200031130011
62443200254543431
7163612356432355
oct23071045502713
94575836645501
101313330333131
11466a86809833
12192647807b77
1396b00a5771b
14477cbb420d5
15242693787c1
hex131c89685cb

1313330333131 has 4 divisors (see below), whose sum is σ = 1313462989264. Its totient is φ = 1313197677000.

The previous prime is 1313330333053. The next prime is 1313330333173.

1313330333131 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 1313330333131 - 29 = 1313330332619 is a prime.

It is a super-2 number, since 2×13133303331312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1313330333131.

It is not an unprimeable number, because it can be changed into a prime (1313330333431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66313215 + ... + 66333016.

It is an arithmetic number, because the mean of its divisors is an integer number (328365747316).

Almost surely, 21313330333131 is an apocalyptic number.

1313330333131 is a deficient number, since it is larger than the sum of its proper divisors (132656133).

1313330333131 is an equidigital number, since it uses as much as digits as its factorization.

1313330333131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132656132.

The product of its (nonzero) digits is 6561, while the sum is 28.

It can be divided in two parts, 1313330 and 333131, that added together give a palindrome (1646461).

The spelling of 1313330333131 in words is "one trillion, three hundred thirteen billion, three hundred thirty million, three hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 9901 132646231 1313330333131