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10131113133 = 321125679237
BaseRepresentation
bin10010110111101110…
…01000010010101101
3222011001110212112100
421123313020102231
5131222031110013
64353144525313
7506026016661
oct113367102255
928131425470
1010131113133
114329827279
121b68a80839
13c55c057cb
146c17328a1
153e465b473
hex25bdc84ad

10131113133 has 6 divisors (see below), whose sum is σ = 14633830094. Its totient is φ = 6754075416.

The previous prime is 10131113129. The next prime is 10131113137. The reversal of 10131113133 is 33131113101.

It is an interprime number because it is at equal distance from previous prime (10131113129) and next prime (10131113137).

It can be written as a sum of positive squares in only one way, i.e., 5693155209 + 4437957924 = 75453^2 + 66618^2 .

It is not a de Polignac number, because 10131113133 - 22 = 10131113129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131113137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 562839610 + ... + 562839627.

Almost surely, 210131113133 is an apocalyptic number.

It is an amenable number.

10131113133 is a deficient number, since it is larger than the sum of its proper divisors (4502716961).

10131113133 is a wasteful number, since it uses less digits than its factorization.

10131113133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125679243 (or 1125679240 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 10131113133 its reverse (33131113101), we get a palindrome (43262226234).

The spelling of 10131113133 in words is "ten billion, one hundred thirty-one million, one hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 1125679237 3377037711 10131113133