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133031213129 is a prime number
BaseRepresentation
bin111101111100101000…
…1110011100001001001
3110201101011200211022202
41323321101303201021
54134421442310004
6141040320325545
712416431440263
oct1737121634111
9421334624282
10133031213129
1151466719451
1221947a738b5
13c710b97279
14661dcb8b33
1536d9020b1e
hex1ef9473849

133031213129 has 2 divisors, whose sum is σ = 133031213130. Its totient is φ = 133031213128.

The previous prime is 133031213111. The next prime is 133031213179. The reversal of 133031213129 is 921312130331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106437757504 + 26593455625 = 326248^2 + 163075^2 .

It is an emirp because it is prime and its reverse (921312130331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133031213129 is a prime.

It is not a weakly prime, because it can be changed into another prime (133031213179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66515606564 + 66515606565.

It is an arithmetic number, because the mean of its divisors is an integer number (66515606565).

Almost surely, 2133031213129 is an apocalyptic number.

It is an amenable number.

133031213129 is a deficient number, since it is larger than the sum of its proper divisors (1).

133031213129 is an equidigital number, since it uses as much as digits as its factorization.

133031213129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 133031213129 in words is "one hundred thirty-three billion, thirty-one million, two hundred thirteen thousand, one hundred twenty-nine".