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1312000013 = 2503524171
BaseRepresentation
bin100111000110011…
…1000100000001101
310101102202111200002
41032030320200031
510141333000023
6334104414045
744340546632
oct11614704015
93342674602
101312000013
11613654035
12307477325
1317ba79c8c
14c6366189
157a2b0b28
hex4e33880d

1312000013 has 4 divisors (see below), whose sum is σ = 1312526688. Its totient is φ = 1311473340.

The previous prime is 1312000009. The next prime is 1312000031. The reversal of 1312000013 is 3100002131.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1312000013 - 22 = 1312000009 is a prime.

It is a super-2 number, since 2×13120000132 = 3442688068224000338, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1311999958 and 1312000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 259583 + ... + 264588.

It is an arithmetic number, because the mean of its divisors is an integer number (328131672).

Almost surely, 21312000013 is an apocalyptic number.

It is an amenable number.

1312000013 is a deficient number, since it is larger than the sum of its proper divisors (526675).

1312000013 is an equidigital number, since it uses as much as digits as its factorization.

1312000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526674.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1312000013 is about 36221.5407320009. The cubic root of 1312000013 is about 1094.7407385754.

Adding to 1312000013 its reverse (3100002131), we get a palindrome (4412002144).

The spelling of 1312000013 in words is "one billion, three hundred twelve million, thirteen", and thus it is an aban number.

Divisors: 1 2503 524171 1312000013