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33135233111131 is a prime number
BaseRepresentation
bin1111000100010111001011…
…10011001001010001011011
311100022200211100220212110211
413202023211303021101123
513320341424134024011
6154250041013351551
76656640652206364
oct742134563112133
9140280740825424
1033135233111131
11a615634291798
1238719b66385b7
131564840080928
14827a7a770b6b
153c6dcb9d2b21
hex1e22e5cc945b

33135233111131 has 2 divisors, whose sum is σ = 33135233111132. Its totient is φ = 33135233111130.

The previous prime is 33135233111089. The next prime is 33135233111257. The reversal of 33135233111131 is 13111133253133.

It is a weak prime.

It is an emirp because it is prime and its reverse (13111133253133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33135233111131 - 231 = 33133085627483 is a prime.

It is a super-2 number, since 2×331352331111312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33135233111093 and 33135233111102.

It is not a weakly prime, because it can be changed into another prime (33135233112131) 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 as a sum of consecutive naturals, namely, 16567616555565 + 16567616555566.

It is an arithmetic number, because the mean of its divisors is an integer number (16567616555566).

Almost surely, 233135233111131 is an apocalyptic number.

33135233111131 is a deficient number, since it is larger than the sum of its proper divisors (1).

33135233111131 is an equidigital number, since it uses as much as digits as its factorization.

33135233111131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7290, while the sum is 31.

Adding to 33135233111131 its reverse (13111133253133), we get a palindrome (46246366364264).

The spelling of 33135233111131 in words is "thirty-three trillion, one hundred thirty-five billion, two hundred thirty-three million, one hundred eleven thousand, one hundred thirty-one".