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10202132131333 is a prime number
BaseRepresentation
bin1001010001110101111001…
…1101100010111000000101
31100010022111010111102122221
42110131132131202320011
52314122431311200313
633410443402052341
72102036226201532
oct224353635427005
940108433442587
1010202132131333
11328377768a02a
1211892a94aa0b1
1359009810566c
14273b00461d89
1512a5aa679c8d
hex9475e762e05

10202132131333 has 2 divisors, whose sum is σ = 10202132131334. Its totient is φ = 10202132131332.

The previous prime is 10202132131259. The next prime is 10202132131349. The reversal of 10202132131333 is 33313123120201.

10202132131333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10162719161604 + 39412969729 = 3187902^2 + 198527^2 .

It is an emirp because it is prime and its reverse (33313123120201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10202132131333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202132131298 and 10202132131307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202132131393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101066065666 + 5101066065667.

It is an arithmetic number, because the mean of its divisors is an integer number (5101066065667).

Almost surely, 210202132131333 is an apocalyptic number.

It is an amenable number.

10202132131333 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202132131333 is an equidigital number, since it uses as much as digits as its factorization.

10202132131333 is an evil number, because the sum of its binary digits is even.

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

Adding to 10202132131333 its reverse (33313123120201), we get a palindrome (43515255251534).

The spelling of 10202132131333 in words is "ten trillion, two hundred two billion, one hundred thirty-two million, one hundred thirty-one thousand, three hundred thirty-three".