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10131323121 = 3210093111533
BaseRepresentation
bin10010110111101111…
…11011100011110001
3222011001212112120200
421123313323203301
5131222104314441
64353153225413
7506030553123
oct113367734361
928131775520
1010131323121
114329960017
121b68b62269
13c55c7a26a
146c1789213
153e469d7b6
hex25bdfb8f1

10131323121 has 12 divisors (see below), whose sum is σ = 14635714548. Its totient is φ = 6753485664.

The previous prime is 10131323023. The next prime is 10131323123. The reversal of 10131323121 is 12132313101.

10131323121 is a `hidden beast` number, since 101 + 313 + 231 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2091690225 + 8039632896 = 45735^2 + 89664^2 .

It is not a de Polignac number, because 10131323121 - 213 = 10131314929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131323094 and 10131323103.

It is not an unprimeable number, because it can be changed into a prime (10131323123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35071 + ... + 146603.

It is an arithmetic number, because the mean of its divisors is an integer number (1219642879).

Almost surely, 210131323121 is an apocalyptic number.

It is an amenable number.

10131323121 is a deficient number, since it is larger than the sum of its proper divisors (4504391427).

10131323121 is a wasteful number, since it uses less digits than its factorization.

10131323121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121632 (or 121629 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10131323121 its reverse (12132313101), we get a palindrome (22263636222).

It can be divided in two parts, 10 and 131323121, that added together give a palindrome (131323131).

The spelling of 10131323121 in words is "ten billion, one hundred thirty-one million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 10093 30279 90837 111533 334599 1003797 1125702569 3377107707 10131323121