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12131316331 = 171931369553
BaseRepresentation
bin10110100110001010…
…10011001001101011
31011022110012201111021
423103011103021223
5144321104110311
65323440113311
7606424326121
oct132305231153
934273181437
1012131316331
1151658a2572
122426905837
1311b44214b4
14831241911
154b005e171
hex2d315326b

12131316331 has 8 divisors (see below), whose sum is σ = 12851609904. Its totient is φ = 11411765760.

The previous prime is 12131316319. The next prime is 12131316347. The reversal of 12131316331 is 13361313121.

12131316331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12131316331 - 229 = 11594445419 is a prime.

It is a super-2 number, since 2×121313163312 (a number of 21 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 = 12131316296 and 12131316305.

It is not an unprimeable number, because it can be changed into a prime (12131316031) 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 in 7 ways as a sum of consecutive naturals, for example, 151950 + ... + 217603.

It is an arithmetic number, because the mean of its divisors is an integer number (1606451238).

Almost surely, 212131316331 is an apocalyptic number.

12131316331 is a deficient number, since it is larger than the sum of its proper divisors (720293573).

12131316331 is a wasteful number, since it uses less digits than its factorization.

12131316331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371501.

The product of its digits is 972, while the sum is 25.

Adding to 12131316331 its reverse (13361313121), we get a palindrome (25492629452).

The spelling of 12131316331 in words is "twelve billion, one hundred thirty-one million, three hundred sixteen thousand, three hundred thirty-one".

Divisors: 1 17 1931 32827 369553 6282401 713606843 12131316331