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2131311223033 is a prime number
BaseRepresentation
bin11111000000111100000…
…011000110000011111001
321112202021202002010102221
4133000330003012003321
5234404411133114113
64311035540124041
7306660610325056
oct37007403060371
97482252063387
102131311223033
1175197a693213
122a508b996621
13125c9bca3305
147522815c02d
153a690eeb98d
hex1f03c0c60f9

2131311223033 has 2 divisors, whose sum is σ = 2131311223034. Its totient is φ = 2131311223032.

The previous prime is 2131311223031. The next prime is 2131311223087. The reversal of 2131311223033 is 3303221131312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1735774630144 + 395536592889 = 1317488^2 + 628917^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131311223033 - 21 = 2131311223031 is a prime.

Together with 2131311223031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2131311222989 and 2131311223007.

It is not a weakly prime, because it can be changed into another prime (2131311223031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065655611516 + 1065655611517.

It is an arithmetic number, because the mean of its divisors is an integer number (1065655611517).

Almost surely, 22131311223033 is an apocalyptic number.

It is an amenable number.

2131311223033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131311223033 is an equidigital number, since it uses as much as digits as its factorization.

2131311223033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 2131311223033 its reverse (3303221131312), we get a palindrome (5434532354345).

The spelling of 2131311223033 in words is "two trillion, one hundred thirty-one billion, three hundred eleven million, two hundred twenty-three thousand, thirty-three".