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313011331331 is a prime number
BaseRepresentation
bin1001000111000001110…
…11011110000100000011
31002220221022001010212112
410203200323132010003
520112021400100311
6355443451045535
731420466263046
oct4434073360403
91086838033775
10313011331331
11110824811096
12507b6a408ab
132369466a12a
14112151bac5d
15821eaed28b
hex48e0ede103

313011331331 has 2 divisors, whose sum is σ = 313011331332. Its totient is φ = 313011331330.

The previous prime is 313011331319. The next prime is 313011331357. The reversal of 313011331331 is 133133110313.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313011331331 is a prime.

It is a super-2 number, since 2×3130113313312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313011331297 and 313011331306.

It is not a weakly prime, because it can be changed into another prime (313011331631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156505665665 + 156505665666.

It is an arithmetic number, because the mean of its divisors is an integer number (156505665666).

Almost surely, 2313011331331 is an apocalyptic number.

313011331331 is a deficient number, since it is larger than the sum of its proper divisors (1).

313011331331 is an equidigital number, since it uses as much as digits as its factorization.

313011331331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 313011331331 its reverse (133133110313), we get a palindrome (446144441644).

The spelling of 313011331331 in words is "three hundred thirteen billion, eleven million, three hundred thirty-one thousand, three hundred thirty-one".