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131022013013 = 283695966529
BaseRepresentation
bin111101000000110000…
…1010100001001010101
3110112012011000212220122
41322001201110021111
54121313113404023
6140105104241325
712315563510063
oct1720141241125
9415164025818
10131022013013
1150625568691
1221487010245
13c48084b468
1464ad107033
15361c9422c8
hex1e81854255

131022013013 has 8 divisors (see below), whose sum is σ = 131505859200. Its totient is φ = 130538314368.

The previous prime is 131022012977. The next prime is 131022013069. The reversal of 131022013013 is 310310220131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131022013013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131022012982 and 131022013000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131022013313) 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, 1936133 + ... + 2002661.

It is an arithmetic number, because the mean of its divisors is an integer number (16438232400).

Almost surely, 2131022013013 is an apocalyptic number.

It is an amenable number.

131022013013 is a deficient number, since it is larger than the sum of its proper divisors (483846187).

131022013013 is an equidigital number, since it uses as much as digits as its factorization.

131022013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73771.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131022013013 its reverse (310310220131), we get a palindrome (441332233144).

The spelling of 131022013013 in words is "one hundred thirty-one billion, twenty-two million, thirteen thousand, thirteen".

Divisors: 1 283 6959 66529 1969397 18827707 462975311 131022013013