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1313121223231 = 23123746153781
BaseRepresentation
bin10011000110111100000…
…111111100001000111111
311122112101200020122200221
4103012330013330020333
5133003233013120411
62443123425002211
7163604240143456
oct23067407741077
94575350218627
101313121223231
11466989774434
121925a9783367
1396a99630a5c
14477ac06bb9d
1524255d20071
hex131bc1fc23f

1313121223231 has 8 divisors (see below), whose sum is σ = 1371321170784. Its totient is φ = 1255013585760.

The previous prime is 1313121223229. The next prime is 1313121223241. The reversal of 1313121223231 is 1323221213131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1313121223231 - 21 = 1313121223229 is a prime.

It is a super-2 number, since 2×13131212232312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1313121223196 and 1313121223205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313121223241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23048440 + ... + 23105341.

It is an arithmetic number, because the mean of its divisors is an integer number (171415146348).

Almost surely, 21313121223231 is an apocalyptic number.

1313121223231 is a deficient number, since it is larger than the sum of its proper divisors (58199947553).

1313121223231 is a wasteful number, since it uses less digits than its factorization.

1313121223231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46155041.

The product of its digits is 1296, while the sum is 25.

Adding to 1313121223231 its reverse (1323221213131), we get a palindrome (2636342436362).

The spelling of 1313121223231 in words is "one trillion, three hundred thirteen billion, one hundred twenty-one million, two hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 23 1237 28451 46153781 1061536963 57092227097 1313121223231