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31413040133 is a prime number
BaseRepresentation
bin11101010000010111…
…001111010000000101
310000002020011210000212
4131100113033100011
51003313214241013
622233030245205
72161305302246
oct352027172005
9100066153025
1031413040133
111235a929aa2
1261081b6805
132c6805b117
14173dd92ccd
15c3cbe76a8
hex7505cf405

31413040133 has 2 divisors, whose sum is σ = 31413040134. Its totient is φ = 31413040132.

The previous prime is 31413040121. The next prime is 31413040159. The reversal of 31413040133 is 33104031413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18252820609 + 13160219524 = 135103^2 + 114718^2 .

It is an emirp because it is prime and its reverse (33104031413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31413040133 - 24 = 31413040117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31413040099 and 31413040108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31413040433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15706520066 + 15706520067.

It is an arithmetic number, because the mean of its divisors is an integer number (15706520067).

Almost surely, 231413040133 is an apocalyptic number.

It is an amenable number.

31413040133 is a deficient number, since it is larger than the sum of its proper divisors (1).

31413040133 is an equidigital number, since it uses as much as digits as its factorization.

31413040133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 31413040133 its reverse (33104031413), we get a palindrome (64517071546).

The spelling of 31413040133 in words is "thirty-one billion, four hundred thirteen million, forty thousand, one hundred thirty-three".