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1312314132131 = 19591170663811
BaseRepresentation
bin10011000110001100000…
…001001000011010100011
311122110022102120011211222
4103012030001020122203
5133000104404212011
62442511354125255
7163545240034262
oct23061401103243
94573272504758
101312314132131
1146660512a9a2
1219240342082b
139699b367362
1447732bb85d9
152420a046ddb
hex1318c0486a3

1312314132131 has 8 divisors (see below), whose sum is σ = 1404796574400. Its totient is φ = 1222173017640.

The previous prime is 1312314132067. The next prime is 1312314132149.

1312314132131 is nontrivially palindromic in base 10.

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 1312314132131 - 26 = 1312314132067 is a prime.

It is a super-2 number, since 2×13123141321312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1312314132131.

It is not an unprimeable number, because it can be changed into a prime (1312314138131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585330785 + ... + 585333026.

It is an arithmetic number, because the mean of its divisors is an integer number (175599571800).

Almost surely, 21312314132131 is an apocalyptic number.

1312314132131 is a deficient number, since it is larger than the sum of its proper divisors (92482442269).

1312314132131 is a wasteful number, since it uses less digits than its factorization.

1312314132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170663889.

The product of its digits is 1296, while the sum is 26.

The spelling of 1312314132131 in words is "one trillion, three hundred twelve billion, three hundred fourteen million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 19 59 1121 1170663811 22242612409 69069164849 1312314132131