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100213113331 is a prime number
BaseRepresentation
bin101110101010100101…
…0101100000111110011
3100120200000122121210001
41131111022230013303
53120214024111311
6114012014450431
710145242260112
oct1352512540763
9316600577701
10100213113331
1139555765321
1217509203a17
1395b0a086c6
144bc9497c79
152917cd44c1
hex17552ac1f3

100213113331 has 2 divisors, whose sum is σ = 100213113332. Its totient is φ = 100213113330.

The previous prime is 100213113307. The next prime is 100213113373. The reversal of 100213113331 is 133311312001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100213113331 is a prime.

It is a super-2 number, since 2×1002131133312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100213113299 and 100213113308.

It is not a weakly prime, because it can be changed into another prime (100213117331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106556665 + 50106556666.

It is an arithmetic number, because the mean of its divisors is an integer number (50106556666).

Almost surely, 2100213113331 is an apocalyptic number.

100213113331 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213113331 is an equidigital number, since it uses as much as digits as its factorization.

100213113331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100213113331 its reverse (133311312001), we get a palindrome (233524425332).

The spelling of 100213113331 in words is "one hundred billion, two hundred thirteen million, one hundred thirteen thousand, three hundred thirty-one".