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1311301010001 = 31039834317083
BaseRepresentation
bin10011000101001111101…
…000011000001001010001
311122100200211012020120010
4103011033220120021101
5132441021024310001
62442223043305133
7163511155451403
oct23051750301121
94570624166503
101311301010001
11466135264284
1219218007b1a9
13968694b44c8
1447678412b73
152419b1228d6
hex1314fa18251

1311301010001 has 16 divisors (see below), whose sum is σ = 1767172432896. Its totient is φ = 864832402896.

The previous prime is 1311301009987. The next prime is 1311301010029. The reversal of 1311301010001 is 1000101031131.

It is not a de Polignac number, because 1311301010001 - 27 = 1311301009873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1311301010801) 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 15 ways as a sum of consecutive naturals, for example, 1854795 + ... + 2462288.

It is an arithmetic number, because the mean of its divisors is an integer number (110448277056).

Almost surely, 21311301010001 is an apocalyptic number.

It is an amenable number.

1311301010001 is a deficient number, since it is larger than the sum of its proper divisors (455871422895).

1311301010001 is a wasteful number, since it uses less digits than its factorization.

1311301010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318172.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1311301010001 its reverse (1000101031131), we get a palindrome (2311402041132).

The spelling of 1311301010001 in words is "one trillion, three hundred eleven billion, three hundred one million, ten thousand, one".

Divisors: 1 3 103 309 983 2949 101249 303747 4317083 12951249 444659549 1333978647 4243692589 12731077767 437100336667 1311301010001