200958418944133 has 2 divisors, whose sum is σ = 200958418944134. Its totient is φ = 200958418944132.

The previous prime is 200958418943939. The next prime is 200958418944137. The reversal of 200958418944133 is 331449814859002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197185683767524 + 3772735176609 = 14042282^2 + 1942353^2 .

It is a cyclic number.

It is not a de Polignac number, because 200958418944133 - 2³³ = 200949829009541 is a prime.

It is a super-2 number, since 2×200958418944133² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200958418944137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100479209472066 + 100479209472067.

It is an arithmetic number, because the mean of its divisors is an integer number (100479209472067).

Almost surely, 2^{200958418944133} is an apocalyptic number.

It is an amenable number.

200958418944133 is a deficient number, since it is larger than the sum of its proper divisors (1).

200958418944133 is an equidigital number, since it uses as much as digits as its factorization.

200958418944133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 200958418944133 in words is "two hundred trillion, nine hundred fifty-eight billion, four hundred eighteen million, nine hundred forty-four thousand, one hundred thirty-three".