Search a number
-
+
33131200231313 is a prime number
BaseRepresentation
bin1111000100001111101010…
…11010111011011110010001
311100022022102022100100101122
413202013311122323132101
513320310144224400223
6154244132511012025
76656436012251312
oct742076532733621
9140268368310348
1033131200231313
11a613954890468
12387106bb0a015
1315643496b9502
148277b6cdc609
153c6c429155c8
hex1e21f56bb791

33131200231313 has 2 divisors, whose sum is σ = 33131200231314. Its totient is φ = 33131200231312.

The previous prime is 33131200231307. The next prime is 33131200231319. The reversal of 33131200231313 is 31313200213133.

It is a balanced prime because it is at equal distance from previous prime (33131200231307) and next prime (33131200231319).

It can be written as a sum of positive squares in only one way, i.e., 30674683171729 + 2456517059584 = 5538473^2 + 1567328^2 .

It is a cyclic number.

It is not a de Polignac number, because 33131200231313 - 226 = 33131133122449 is a prime.

It is not a weakly prime, because it can be changed into another prime (33131200231319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16565600115656 + 16565600115657.

It is an arithmetic number, because the mean of its divisors is an integer number (16565600115657).

Almost surely, 233131200231313 is an apocalyptic number.

It is an amenable number.

33131200231313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33131200231313 is an equidigital number, since it uses as much as digits as its factorization.

33131200231313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 33131200231313 its reverse (31313200213133), we get a palindrome (64444400444446).

The spelling of 33131200231313 in words is "thirty-three trillion, one hundred thirty-one billion, two hundred million, two hundred thirty-one thousand, three hundred thirteen".