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131010233013 = 321110007132241
BaseRepresentation
bin111101000000011010…
…0011000001010110101
3110112011022212101210100
41322000310120022311
54121302104424023
6140104003544313
712315361415052
oct1720064301265
9415138771710
10131010233013
1150619952150
122148308b099
13c47b28564a
1464ab71c029
15361b8b6c43
hex1e80d182b5

131010233013 has 24 divisors (see below), whose sum is σ = 206462558016. Its totient is φ = 79391606400.

The previous prime is 131010232973. The next prime is 131010233021. The reversal of 131010233013 is 310332010131.

It is a happy number.

131010233013 is a `hidden beast` number, since 1 + 310 + 10 + 2 + 330 + 13 = 666.

It is not a de Polignac number, because 131010233013 - 218 = 131009970869 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010233413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 924573 + ... + 1056813.

It is an arithmetic number, because the mean of its divisors is an integer number (8602606584).

Almost surely, 2131010233013 is an apocalyptic number.

It is an amenable number.

131010233013 is a deficient number, since it is larger than the sum of its proper divisors (75452325003).

131010233013 is a wasteful number, since it uses less digits than its factorization.

131010233013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142265 (or 142262 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131010233013 its reverse (310332010131), we get a palindrome (441342243144).

The spelling of 131010233013 in words is "one hundred thirty-one billion, ten million, two hundred thirty-three thousand, thirteen".

Divisors: 1 3 9 11 33 99 10007 30021 90063 110077 132241 330231 396723 990693 1190169 1454651 4363953 13091859 1323335687 3970007061 11910021183 14556692557 43670077671 131010233013