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131023213113 = 31333116975981
BaseRepresentation
bin111101000000110010…
…1111001001000111001
3110112012020021212010210
41322001211321020321
54121313420304423
6140105150101333
712315606635652
oct1720145711071
9415166255123
10131023213113
1150626208301
12214874aa849
13c480b7b790
1464ad33a529
15361caccb93
hex1e81979239

131023213113 has 32 divisors (see below), whose sum is σ = 188847050112. Its totient is φ = 80325273600.

The previous prime is 131023213103. The next prime is 131023213183. The reversal of 131023213113 is 311312320131.

It is a happy number.

It is not a de Polignac number, because 131023213113 - 29 = 131023212601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131023213113.

It is not an unprimeable number, because it can be changed into a prime (131023213103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21903583 + ... + 21909563.

It is an arithmetic number, because the mean of its divisors is an integer number (5901470316).

Almost surely, 2131023213113 is an apocalyptic number.

131023213113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131023213113 is a deficient number, since it is larger than the sum of its proper divisors (57823836999).

131023213113 is a wasteful number, since it uses less digits than its factorization.

131023213113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8025.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131023213113 its reverse (311312320131), we get a palindrome (442335533244).

The spelling of 131023213113 in words is "one hundred thirty-one billion, twenty-three million, two hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 13 39 331 993 1697 4303 5091 5981 12909 17943 22061 66183 77753 233259 561707 1685121 1979711 5939133 7302191 10149757 21906573 25736243 30449271 77208729 131946841 395840523 3359569567 10078708701 43674404371 131023213113