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2133132313931 is a prime number
BaseRepresentation
bin11111000010101000100…
…110000000010101001011
321112220222122210010111222
4133002220212000111023
5234422123333021211
64311540352312255
7310054002334013
oct37025046002513
97486878703458
102133132313931
11752724642813
122a54b984268b
131261cc3691a8
147535bd64c43
153a74ad1e1db
hex1f0a898054b

2133132313931 has 2 divisors, whose sum is σ = 2133132313932. Its totient is φ = 2133132313930.

The previous prime is 2133132313927. The next prime is 2133132313969. The reversal of 2133132313931 is 1393132313312.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2133132313931 - 22 = 2133132313927 is a prime.

It is a super-2 number, since 2×21331323139312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2133132313891 and 2133132313900.

It is not a weakly prime, because it can be changed into another prime (2133132313901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066566156965 + 1066566156966.

It is an arithmetic number, because the mean of its divisors is an integer number (1066566156966).

Almost surely, 22133132313931 is an apocalyptic number.

2133132313931 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133132313931 is an equidigital number, since it uses as much as digits as its factorization.

2133132313931 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26244, while the sum is 35.

The spelling of 2133132313931 in words is "two trillion, one hundred thirty-three billion, one hundred thirty-two million, three hundred thirteen thousand, nine hundred thirty-one".