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31033123133 is a prime number
BaseRepresentation
bin11100111001101101…
…111110000100111101
32222002202021222212212
4130321231332010331
51002023434420013
622131215310205
72146013123435
oct347155760475
988082258785
1031033123133
1112185430801
126020b1b365
132c0742b96c
1417057392c5
15c1969e6a8
hex739b7e13d

31033123133 has 2 divisors, whose sum is σ = 31033123134. Its totient is φ = 31033123132.

The previous prime is 31033123123. The next prime is 31033123193. The reversal of 31033123133 is 33132133013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20628715129 + 10404408004 = 143627^2 + 102002^2 .

It is a cyclic number.

It is not a de Polignac number, because 31033123133 - 28 = 31033122877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31033123099 and 31033123108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31033123123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15516561566 + 15516561567.

It is an arithmetic number, because the mean of its divisors is an integer number (15516561567).

Almost surely, 231033123133 is an apocalyptic number.

It is an amenable number.

31033123133 is a deficient number, since it is larger than the sum of its proper divisors (1).

31033123133 is an equidigital number, since it uses as much as digits as its factorization.

31033123133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 31033123133 its reverse (33132133013), we get a palindrome (64165256146).

The spelling of 31033123133 in words is "thirty-one billion, thirty-three million, one hundred twenty-three thousand, one hundred thirty-three".