200333133002137 has 2 divisors, whose sum is σ = 200333133002138. Its totient is φ = 200333133002136.

The previous prime is 200333133002113. The next prime is 200333133002161. The reversal of 200333133002137 is 731200331333002.

It is a balanced prime because it is at equal distance from previous prime (200333133002113) and next prime (200333133002161).

It can be written as a sum of positive squares in only one way, i.e., 184700630192521 + 15632502809616 = 13590461^2 + 3953796^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-200333133002137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200333133002099 and 200333133002108.

It is not a weakly prime, because it can be changed into another prime (200333133002437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100166566501068 + 100166566501069.

It is an arithmetic number, because the mean of its divisors is an integer number (100166566501069).

Almost surely, 2^{200333133002137} is an apocalyptic number.

It is an amenable number.

200333133002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

200333133002137 is an equidigital number, since it uses as much as digits as its factorization.

200333133002137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20412, while the sum is 31.

Adding to 200333133002137 its reverse (731200331333002), we get a palindrome (931533464335139).

The spelling of 200333133002137 in words is "two hundred trillion, three hundred thirty-three billion, one hundred thirty-three million, two thousand, one hundred thirty-seven".